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-% The ebproof package - Formal proofs in the style of sequent calculus
-
-%% ebproof.sty
-%% Copyright 2017 Emmanuel Beffara <manu@beffara.org>
-
-% This work may be distributed and/or modified under the
-% conditions of the LaTeX Project Public License, either version 1.3
-% of this license or (at your option) any later version.
-% The latest version of this license is in
-% http://www.latex-project.org/lppl.txt
-% and version 1.3 or later is part of all distributions of LaTeX
-% version 2005/12/01 or later.
-
-% This work has the LPPL maintenance status `maintained'.
-
-% The Current Maintainer of this work is Emmanuel Beffara.
-
-% This work consists of the files ebproof.sty and ebproof.tex.
-
-\NeedsTeXFormat{LaTeX2e}
-\RequirePackage{expl3}
-\RequirePackage{xparse}
-\ProvidesExplPackage{ebproof}{2017/05/17}{2.0}{EB's proof trees}
-
-
-%% Parameters
-
-%%% Declaration of the parameters
-
-\keys_define:nn { ebproof } {
-
-% general shape
-
-center .bool_set:N = \l_ebproof_center_bool,
-
-proof~style .choice: ,
-proof~style / upwards .code:n = \bool_set_false:N \l_ebproof_updown_bool,
-proof~style / downwards .code:n = \bool_set_true:N \l_ebproof_updown_bool,
-
-% spacing
-
-separation .dim_set:N = \l_ebproof_separation_dim,
-rule~margin .dim_set:N = \l_ebproof_rule_margin_dim,
-
-% shape of inference lines
-
-rule~thickness .dim_set:N = \l_ebproof_rule_thickness_dim,
-rule~separation .dim_set:N = \l_ebproof_rule_separation_dim,
-rule~dash~length .dim_set:N = \l_ebproof_rule_dash_length_dim,
-rule~dash~space .dim_set:N = \l_ebproof_rule_dash_space_dim,
-rule~code .tl_set:N = \l_ebproof_rule_code_tl,
-
-rule~style .choice:,
-
-% templates
-
-template .tl_set:N = \l_ebproof_template_tl,
-left~template .tl_set:N = \l_ebproof_left_template_tl,
-right~template .tl_set:N = \l_ebproof_right_template_tl,
-
-% labels
-
-left~label .tl_set:N = \l_ebproof_left_label_tl,
-right~label .tl_set:N = \l_ebproof_right_label_tl,
-left~label~template .tl_set:N = \l_ebproof_left_label_template_tl,
-right~label~template .tl_set:N = \l_ebproof_right_label_template_tl,
-label~separation .dim_set:N = \l_ebproof_label_separation_dim,
-label~axis .dim_set:N = \l_ebproof_label_axis_dim,
-
-}
-
-%%% Rule styles
-
-\NewDocumentCommand \ebproofnewrulestyle { mm } {
- \keys_define:nn { ebproof } {
- rule~style / #1 .meta:nn = { ebproof } { #2 }
- }
-}
-
-\ebproofnewrulestyle { simple } {
- rule~code = { \tex_hrule:D height \l_ebproof_rule_thickness_dim }
-}
-
-\ebproofnewrulestyle { no~rule } {
- rule~code =
-}
-
-\ebproofnewrulestyle { double } {
- rule~code = {
- \tex_hrule:D height \l_ebproof_rule_thickness_dim
- \skip_vertical:N \l_ebproof_rule_separation_dim
- \tex_hrule:D height \l_ebproof_rule_thickness_dim
- }
-}
-
-\ebproofnewrulestyle { dashed } {
- rule~code = {
- \hbox_to_wd:nn { \tex_hsize:D } {
- \dim_set:Nn \l_tmpa_dim { \l_ebproof_rule_dash_space_dim / 2 }
- \skip_horizontal:n { -\l_tmpa_dim }
- \tex_cleaders:D \hbox:n {
- \skip_horizontal:N \l_tmpa_dim
- \tex_vrule:D
- height \l_ebproof_rule_thickness_dim
- width \l_ebproof_rule_dash_length_dim
- \skip_horizontal:N \l_tmpa_dim
- }\tex_hfill:D
- \skip_horizontal:n { -\l_tmpa_dim }
- }
- }
-}
-
-%%% Default values
-
-\keys_set:nn { ebproof } {
- center = true,
- proof~style = upwards,
- separation = 1.5em,
- rule~margin = .7ex,
- rule~thickness = .4pt,
- rule~separation = 2pt,
- rule~dash~length = .2em,
- rule~dash~space = .3em,
- rule~style = simple,
- template = $\inserttext$,
- left~template = $\inserttext\mathrel{}$,
- right~template = $\mathrel{}\inserttext$,
- left~label = ,
- right~label = ,
- left~label~template = \inserttext,
- right~label~template = \inserttext,
- label~separation = 0.5em,
- label~axis = 0.5ex
-}
-
-%%% Defining style macros
-
-\NewDocumentCommand \ebproofnewstyle { mm } {
- \keys_define:nn { ebproof } { #1 .meta:n = { #2 } }
-}
-
-
-%% Proof trees
-
-% Proof trees are represented as a data structure that consists of a box and a
-% set of marks, which are vertical positions in the box (as distances from the
-% left edge). Arbitrary marks can be defined, the folowing are used for
-% alignment:
-% - left : the left of the conclusion
-% - right : the right of the conclusion
-% - axis : the vertical axis of the conclusion
-
-
-%%% Registers
-
-% TeX does not actually provide data structures, so we have to encode things.
-% We provide an allocator for "registers" holding boxes with attributes. Such
-% a register consists in a box register and a property list for marks, which
-% maps mark names to values as explicit dimensions with units.
-
-% Create a new register.
-
-\cs_new:Nn \ebproof_new:N {
- \box_new:N #1
- \prop_new:c { l_ebproof_marks_ \__int_value:w #1 _prop }
-}
-
-% Clear a register.
-
-\cs_new:Nn \ebproof_clear:N {
- \hbox_set:Nn #1 {}
- % Using \box_clear:N instead would not work because trying to push this box
- % on the stack would not actually append any box.
- \prop_clear:c { l_ebproof_marks_ \__int_value:w #1 _prop }
- \ebproof_set_mark:Nnn #1 { left } { 0pt }
- \ebproof_set_mark:Nnn #1 { right } { 0pt }
- \ebproof_set_mark:Nnn #1 { axis } { 0pt }
-}
-
-
-%%% Mark operations
-
-% Set the value of a mark. The third argument is a dimension expression.
-
-\dim_new:N \l_ebproof_transit_dim
-
-\cs_new:Nn \ebproof_set_mark:Nnn {
- \dim_set:Nn \l_ebproof_transit_dim { #3 }
- \prop_put:cnV { l_ebproof_marks_ \__int_value:w #1 _prop } { #2 }
- \l_ebproof_transit_dim
-}
-
-% Get the value of a mark. This is expandable and can be used in expressions.
-
-\cs_new:Nn \ebproof_mark:Nn {
- \prop_item:cn { l_ebproof_marks_ \__int_value:w #1 _prop } { #2 }
-}
-
-% Shift the marks by a specified amount, without modifying the box.
-
-\cs_new:Nn \ebproof_shift_x:Nn {
- \prop_map_inline:cn { l_ebproof_marks_ \__int_value:w #1 _prop } {
- \ebproof_set_mark:Nnn #1 { ##1 } { ##2 + #2 }
- }
-}
-
-% Move the left and right marks of the first tree so that they are at least as
-% far from the axis as they are in the second tree. For instance if the marks
-% are set as
-% 1: L---A-------R
-% 2: L-------A---R
-% then the marks of the first tree are then set as
-% 1: L-------A-------R
-% The contents of the tree are unchanged.
-
-\cs_new:Nn \ebproof_enlarge_conclusion:NN {
- \dim_set:Nn \l_tmpa_dim { \ebproof_mark:Nn #1 {axis}
- + \ebproof_mark:Nn #2 {left} - \ebproof_mark:Nn #2 {axis} }
- \dim_compare:nNnT { \l_tmpa_dim } < { \ebproof_mark:Nn #1 {left} } {
- \ebproof_set_mark:Nnn #1 {left} { \l_tmpa_dim } }
- \dim_set:Nn \l_tmpa_dim { \ebproof_mark:Nn #1 {axis}
- + \ebproof_mark:Nn #2 {right} - \ebproof_mark:Nn #2 {axis} }
- \dim_compare:nNnT { \l_tmpa_dim } > { \ebproof_mark:Nn #1 {right} } {
- \ebproof_set_mark:Nnn #1 {right} { \l_tmpa_dim } }
-}
-
-
-%%% Building blocks
-
-% Make a tree with explicit material in horizontal mode. Set the left and
-% right marks to extremal positions and set the axis in the middle.
-
-\cs_new:Nn \ebproof_make_simple:Nn {
- \hbox_set:Nn #1 { #2 }
- \ebproof_set_mark:Nnn #1 { left } { 0pt }
- \ebproof_set_mark:Nnn #1 { axis } { \box_wd:N #1 / 2 }
- \ebproof_set_mark:Nnn #1 { right } { \box_wd:N #1 }
-}
-
-% Make a tree with explicit material in horizontal mode, split in two parts.
-% Set the left and right marks to extremal positions and set the axis between
-% the two parts.
-
-\cs_new:Nn \ebproof_make_split:Nnn {
- \ebproof_set_mark:Nnn #1 { left } { 0pt }
- \hbox_set:Nn #1 { #2 }
- \ebproof_set_mark:Nnn #1 { axis } { \box_wd:N #1 }
- \hbox_set:Nn #1 { \hbox_unpack:N #1 #3 }
- \ebproof_set_mark:Nnn #1 { right } { \box_wd:N #1 }
-}
-
-% Make a tree with explicit material in vertical mode, using an explicit width
-% and axis.
-
-\cs_new:Nn \ebproof_make_vertical:Nnnn {
- \ebproof_set_mark:Nnn #1 { left } { 0pt }
- \ebproof_set_mark:Nnn #1 { axis } { #2 }
- \ebproof_set_mark:Nnn #1 { right } { #3 }
- \vbox_set:Nn #1 {
- \dim_set:Nn \tex_hsize:D { \ebproof_mark:Nn #1 {right} }
- #4
- }
- \box_set_wd:Nn #1 { \ebproof_mark:Nn #1 {right} }
-}
-
-%%% Assembling boxes
-
-% Extend a tree box. The marks are shifted so that alignment is preserved. The
-% arguments are dimensions for the left, top, right and bottom sides
-% respectively.
-
-\cs_new:Nn \ebproof_extend:Nnnnn {
- \dim_compare:nNnF { #2 } = { 0pt } {
- \hbox_set:Nn #1 {
- \skip_horizontal:n { #2 }
- \box_use:N #1
- }
- \ebproof_shift_x:Nn #1 { #2 }
- }
- \box_set_ht:Nn #1 { \box_ht:N #1 + #3 }
- \box_set_wd:Nn #1 { \box_wd:N #1 + #4 }
- \box_set_dp:Nn #1 { \box_dp:N #1 + #5 }
-}
-
-% Append the contents of the second tree to the first one on the right, with
-% matching baselines. The marks of both trees are preserved. The middle
-% argument specifies the space to insert between boxes.
-
-\cs_new:Nn \ebproof_append_right:NnN {
- \hbox_set:Nn #1 {
- \box_use:N #1
- \dim_compare:nNnF { #2 } = { 0pt } { \skip_horizontal:n { #2 } }
- \box_use:N #3
- }
-}
-
-% Append the contents of the second tree to the first one on the left, with
-% matching baselines. The marks of the first tree are shifted accordingly. The
-% middle argument specifies the space to insert between boxes.
-
-\cs_new:Nn \ebproof_append_left:NnN {
- \ebproof_shift_x:Nn #1 { \box_wd:N #3 + #2 }
- \hbox_set:Nn #1 {
- \box_use:N #3
- \dim_compare:nNnF { #2 } = { 0pt } { \skip_horizontal:n { #2 } }
- \box_use:N #1
- }
-}
-
-% Shift of two trees to the right so that the axes match. The marks of the one
-% that is shifted are updated accordingly.
-
-\cs_new:Nn \ebproof_align:NN {
- \dim_set:Nn \l_tmpa_dim
- { \ebproof_mark:Nn #2 {axis} - \ebproof_mark:Nn #1 {axis} }
- \dim_compare:nNnTF \l_tmpa_dim < { 0pt } {
- \ebproof_extend:Nnnnn #2 { -\l_tmpa_dim } { 0pt } { 0pt } { 0pt }
- } {
- \ebproof_extend:Nnnnn #1 { \l_tmpa_dim } { 0pt } { 0pt } { 0pt }
- }
-}
-
-% Append the contents of the second tree above the first one, with matching
-% axes. The marks of the first tree are preserved.
-
-\cs_new:Nn \ebproof_append_above:NN {
- \ebproof_align:NN #1 #2
- \vbox_set:Nn #1 {
- \box_use:N #2
- \tex_prevdepth:D -1000pt
- \box_use:N #1
- }
-}
-
-% Append the contents of the second tree below the first one, with matching
-% axes. The marks of the first tree are preserved.
-
-\cs_new:Nn \ebproof_append_below:NN {
- \ebproof_align:NN #1 #2
- \vbox_set_top:Nn #1 {
- \box_use:N #1
- \tex_prevdepth:D -1000pt
- \box_use:N #2
- }
-}
-
-% Shift the material in a tree vertically so that the height and depth are
-% equal (like TeX's \vcenter but around the baseline).
-
-\cs_new:Nn \ebproof_vcenter:N {
- \dim_set:Nn \l_tmpa_dim { ( \box_ht:N #1 - \box_dp:N #1 ) / 2 }
- \box_set_eq:NN \l_tmpa_box #1
- \hbox_set:Nn #1
- { \box_move_down:nn { \l_tmpa_dim } { \box_use:N \l_tmpa_box } }
-}
-
-
-%% Making inferences
-%
-% The following commands use the parameters defined at the beginning of the
-% package for actually building proof trees using the commands defined above.
-
-% Append the contents of the second tree above or below the first one,
-% depending on current settings. Axes are aligned and the marks of the first
-% tree are preserved.
-
-\cs_new:Nn \ebproof_append_vertical:NN {
- \bool_if:NTF \l_ebproof_updown_bool
- { \ebproof_append_below:NN #1 #2 }
- { \ebproof_append_above:NN #1 #2 }
-}
-
-% Make a box containing an inference rule with labels, using the current
-% settings. The width and axis position are taken as those of the conclusion
-% of another tree box. The third argument is used as a temporary register for
-% building labels.
-
-\cs_new:Nn \ebproof_make_rule_for:NNN {
-
- % Build the rule.
-
- \ebproof_make_vertical:Nnnn #1
- { \ebproof_mark:Nn #2 {axis} - \ebproof_mark:Nn #2 {left} }
- { \ebproof_mark:Nn #2 {right} - \ebproof_mark:Nn #2 {left} }
- {
- \skip_vertical:N \l_ebproof_rule_margin_dim
- \tl_if_empty:NF { \l_ebproof_rule_code_tl } {
- \tl_use:N \l_ebproof_rule_code_tl
- \skip_vertical:N \l_ebproof_rule_margin_dim
- }
- }
- \ebproof_vcenter:N #1
-
- % Append the left label
-
- \tl_if_blank:VF \l_ebproof_left_label_tl {
- \ebproof_make_simple:Nn #3 {
- \box_move_down:nn { \l_ebproof_label_axis_dim } { \hbox:n {
- \cs_set_eq:NN \inserttext \l_ebproof_left_label_tl
- \tl_use:N \l_ebproof_left_label_template_tl
- } }
- }
- \box_set_ht:Nn #3 { 0pt }
- \box_set_dp:Nn #3 { 0pt }
- \ebproof_append_left:NnN
- \l_ebproof_c_box \l_ebproof_label_separation_dim \l_ebproof_d_box
- }
-
- % Append the right label
-
- \tl_if_blank:VF \l_ebproof_right_label_tl {
- \ebproof_make_simple:Nn #3 {
- \box_move_down:nn { \l_ebproof_label_axis_dim } { \hbox:n {
- \cs_set_eq:NN \inserttext \l_ebproof_right_label_tl
- \tl_use:N \l_ebproof_right_label_template_tl
- } }
- }
- \box_set_ht:Nn #3 { 0pt }
- \box_set_dp:Nn #3 { 0pt }
- \ebproof_append_right:NnN
- \l_ebproof_c_box \l_ebproof_label_separation_dim \l_ebproof_d_box
- }
-
-}
-
-
-%% Stack-based interface
-
-%%% The stack
-
-% Logically, box structures are stored on a stack. However, TeX does not
-% provide data structures for that and the grouping mechanism is not flexible
-% enough, so we encode them using what we actually have. A stack for boxes is
-% implemented using a global hbox |\g_ebproof_stack_box| that contains all the
-% boxes successively. A sequence |\g_ebproof_stack_seq| is used to store the
-% dimensions property lists textually. We maintain a counter
-% |\g_ebproof_level_int| with the number of elements on the stack, for
-% consistency checks.
-
-\int_new:N \g_ebproof_level_int
-\box_new:N \g_ebproof_stack_box
-\seq_new:N \g_ebproof_stack_seq
-
-% Clear the stack.
-
-\cs_new:Nn \ebproof_clear_stack: {
- \int_gset:Nn \g_ebproof_level_int { 0 }
- \hbox_gset:Nn \g_ebproof_stack_box { }
- \seq_gclear:N \g_ebproof_stack_seq
-}
-
-% Push the contents of a register on the stack.
-
-\cs_new:Nn \ebproof_push:N {
- \int_gincr:N \g_ebproof_level_int
- \hbox_gset:Nn \g_ebproof_stack_box
- { \hbox_unpack:N \g_ebproof_stack_box \box_use:N #1 }
- \seq_gput_left:Nv \g_ebproof_stack_seq
- { l_ebproof_marks_ \__int_value:w #1 _prop }
-}
-
-% Pop the value from the top of the stack into a register.
-
-\cs_new:Nn \ebproof_pop:N {
- \int_compare:nNnTF { \g_ebproof_level_int } > { 0 } {
- \int_gdecr:N \g_ebproof_level_int
- \hbox_gset:Nn \g_ebproof_stack_box {
- \hbox_unpack:N \g_ebproof_stack_box
- \box_gset_to_last:N \g_tmpa_box
- }
- \box_set_eq_clear:NN #1 \g_tmpa_box
- \seq_gpop_left:NN \g_ebproof_stack_seq \l_tmpa_tl
- \tl_set_eq:cN { l_ebproof_marks_ \__int_value:w #1 _prop } \l_tmpa_tl
- } {
- \PackageError{ebproof}{Missing~premiss~in~a~proof~tree}{}
- \ebproof_clear:N #1
- }
-}
-
-%%% Assembling trees
-
-\ebproof_new:N \l_ebproof_a_box
-\ebproof_new:N \l_ebproof_b_box
-\ebproof_new:N \l_ebproof_c_box
-\ebproof_new:N \l_ebproof_d_box
-
-% Join horizontally a number of elements at the top of the stack. If several
-% trees are joined, use the left mark of the left tree, the right mark of the
-% right tree and set the axis in the middle of these marks.
-
-\cs_new:Nn \ebproof_join_horizontal:n {
- \int_case:nnF { #1 } {
- { 0 } {
- \group_begin:
- \ebproof_clear:N \l_ebproof_a_box
- \ebproof_push:N \l_ebproof_a_box
- \group_end:
- }
- { 1 } { }
- } {
- \group_begin:
- \ebproof_pop:N \l_ebproof_a_box
- \prg_replicate:nn { #1 - 1 } {
- \ebproof_pop:N \l_ebproof_b_box
- \ebproof_append_left:NnN
- \l_ebproof_a_box \l_ebproof_separation_dim \l_ebproof_b_box
- }
- \ebproof_set_mark:Nnn \l_ebproof_a_box { left }
- { \ebproof_mark:Nn \l_ebproof_b_box { left } }
- \ebproof_set_mark:Nnn \l_ebproof_a_box { axis }
- { ( \ebproof_mark:Nn \l_ebproof_a_box { left }
- + \ebproof_mark:Nn \l_ebproof_a_box { right } ) / 2 }
- \ebproof_push:N \l_ebproof_a_box
- \group_end:
- }
-}
-
-% Join vertically the two elements at the top of the stack, with a horizontal
-% rule of the appropriate size.
-
-\cs_new:Nn \ebproof_join_vertical: {
- \group_begin:
- \ebproof_pop:N \l_ebproof_a_box
- \ebproof_pop:N \l_ebproof_b_box
- \ebproof_enlarge_conclusion:NN \l_ebproof_b_box \l_ebproof_a_box
- \ebproof_make_rule_for:NNN \l_ebproof_c_box \l_ebproof_b_box
- \l_ebproof_d_box
- \ebproof_append_vertical:NN \l_ebproof_a_box \l_ebproof_c_box
- \ebproof_append_vertical:NN \l_ebproof_a_box \l_ebproof_b_box
- \ebproof_push:N \l_ebproof_a_box
- \group_end:
-}
-
-%%% High-level commands
-
-% Push a box with default formatting, using explicit alignment if the code
-% contains a |&| character
-
-\cs_new:Npn \ebproof_statement_parse:w #1&#2&#3\ebproof_statement_stop: {
- \tl_if_empty:nTF { #3 } {
- \ebproof_make_simple:Nn \l_ebproof_a_box
- { \cs_set:Npn \inserttext { #1 } \tl_use:N \l_ebproof_template_tl }
- } {
- \ebproof_make_split:Nnn \l_ebproof_a_box
- { \cs_set:Npn \inserttext { #1 } \tl_use:N \l_ebproof_left_template_tl }
- { \cs_set:Npn \inserttext { #2 } \tl_use:N \l_ebproof_right_template_tl }
- }
- \ebproof_push:N \l_ebproof_a_box
-}
-
-\cs_new:Nn \ebproof_push_statement:n {
- \ebproof_statement_parse:w #1&& \ebproof_statement_stop:
-}
-
-
-%% Document interface
-
-%%% Functions to define statements
-
-% The |\g_ebproof_stack_seq| variable contains the list of all defined
-% statements. For each statement |X|, there is a document command |\ebproofX|
-% and the alias |\X| is defined when entering a |prooftree| environment.
-
-\seq_new:N \g_ebproof_statements_seq
-
-% Install the aliases for statements, saving the original value of the control
-% sequences.
-
-\cs_new:Nn \ebproof_setup_statements: {
- \seq_map_inline:Nn \g_ebproof_statements_seq {
- \cs_set_eq:cc { ebproof_saved_ ##1 } { ##1 }
- \cs_set_eq:cc { ##1 } { ebproof ##1 }
- }
-}
-
-% Restore the saved meanings of the control sequences. This is useful when
-% interpreting user-provided code in statement arguments. The meanings are
-% automatically restored when leaving a |prooftree| environment because of
-% grouping.
-
-\cs_new:Nn \ebproof_restore_statements: {
- \seq_map_inline:Nn \g_ebproof_statements_seq {
- \cs_set_eq:cc { ##1 } { ebproof_saved_ ##1 }
- }
-}
-
-% Define a new statement. The first argument is the name, the second one is an
-% argument specifier as used by |xparse| and the third one is the body of the
-% command.
-
-\cs_new:Nn \ebproof_new_statement:nnn {
- \exp_args:Nc \NewDocumentCommand { ebproof#1 }{ #2 } { #3 }
- \seq_put_right:Nn \g_ebproof_statements_seq { #1 }
-}
-
-% Define a deprecated statement. The syntax is the same as above except that
-% an extra argument in third position indicates what should be used instead.
-% The effect is the same except that a warning message is issued the first
-% time the statement is used.
-
-\cs_new:Nn \ebproof_new_deprecated_statement:nnnn {
- \cs_new:cpn { ebproof_#1_warning: } {
- \PackageWarning { ebproof } { \token_to_str:c{#1}~is~deprecated,~#3 }
- \cs_gset:cn { ebproof_#1_warning: } { }
- }
- \ebproof_new_statement:nnn { #1 } { #2 }
- { \use:c { ebproof_#1_warning: } #4 }
-}
-
-
-%%% Basic commands
-
-\ebproof_new_statement:nnn { set } { m } {
- \keys_set:nn { ebproof } { #1 }
-}
-
-\ebproof_new_statement:nnn { hypo } { O{} m } {
- \group_begin:
- \ebproof_restore_statements:
- \keys_set:nn { ebproof } { #1 }
- \ebproof_push_statement:n { #2 }
- \group_end:
-}
-
-\ebproof_new_statement:nnn { infer } { O{} m O{} m } {
- \group_begin:
- \ebproof_restore_statements:
- \keys_set_known:nnN { ebproof / rule~style } { #1 } \l_tmpa_tl
- \keys_set:nV { ebproof } \l_tmpa_tl
- \tl_set:Nn \l_ebproof_right_label_tl { #3 }
- \ebproof_join_horizontal:n { #2 }
- \ebproof_push_statement:n { #4 }
- \ebproof_join_vertical:
- \group_end:
-}
-
-\ebproof_new_statement:nnn { ellipsis } { m m } {
- \group_begin:
- \ebproof_restore_statements:
- \tl_clear:N \l_ebproof_rule_code_tl
- \ebproof_make_split:Nnn \l_ebproof_a_box { } {
- \vbox_set:Nn \l_tmpa_box {
- \skip_vertical:n { 1.2ex }
- \hbox:n { \tex_ignorespaces:D #1 }
- \skip_vertical:n { 1.2ex }
- }
- \vbox_to_ht:nn { \box_ht:N \l_tmpa_box } {
- \tex_xleaders:D \vbox_to_ht:nn { .8ex }
- { \tex_vss:D \hbox:n { . } \tex_vss:D }
- \tex_vfill:D
- }
- \hbox_overlap_right:n { ~ \box_use:N \l_tmpa_box }
- }
- \ebproof_push:N \l_ebproof_a_box
- \ebproof_join_vertical:
- \ebproof_push_statement:n {#2}
- \ebproof_join_vertical:
- \group_end:
-}
-
-
-%%% Modifying trees
-
-% Rewrite the box at the top of the stack while preserving its dimensions an
-% marks. The code is typeset in horizontal mode, with control sequences to
-% access the original box and its marks:
-% - \treebox is a box register with the original material
-% - \treemark{NAME} provides the value of a given mark
-
-\ebproof_new_statement:nnn { rewrite } { m } {
- \group_begin:
- \ebproof_restore_statements:
- \ebproof_pop:N \l_ebproof_a_box
- \box_set_eq:NN \l_tmpa_box \l_ebproof_a_box
- \hbox_set:Nn \l_tmpb_box {
- \cs_set_eq:NN \treebox \l_tmpa_box
- \cs_set:Npn \treemark { \ebproof_mark:Nn \l_ebproof_a_box }
- { #1 }
- }
- \box_set_wd:Nn \l_tmpb_box { \box_wd:N \l_ebproof_a_box }
- \box_set_ht:Nn \l_tmpb_box { \box_ht:N \l_ebproof_a_box }
- \box_set_dp:Nn \l_tmpb_box { \box_dp:N \l_ebproof_a_box }
- \box_set_eq:NN \l_ebproof_a_box \l_tmpb_box
- \ebproof_push:N \l_ebproof_a_box
- \group_end:
-}
-
-% Insert |\left| and |\right| delimiters without changing the alignment
-
-\ebproof_new_statement:nnn { delims } { m m } {
- \group_begin:
- \ebproof_restore_statements:
- \ebproof_pop:N \l_ebproof_a_box
- \hbox_set:Nn \l_tmpa_box
- { $ \tex_vcenter:D { \box_use:N \l_ebproof_a_box } $ }
- \dim_set:Nn \l_tmpa_dim
- { \box_ht:N \l_tmpa_box - \box_ht:N \l_ebproof_a_box }
- \hbox_set:Nn \l_ebproof_a_box {
- $ #1 \tex_vrule:D
- height \box_ht:N \l_tmpa_box depth \box_dp:N \l_tmpa_box width 0pt
- \tex_right:D . $
- }
- \ebproof_shift_x:Nn \l_ebproof_a_box { \box_wd:N \l_ebproof_a_box }
- \hbox_set:Nn \l_ebproof_a_box {
- \hbox_unpack:N \l_ebproof_a_box
- $ \tex_left:D . \box_use:N \l_tmpa_box #2 $
- }
- \hbox_set:Nn \l_ebproof_a_box
- { \box_move_down:nn { \l_tmpa_dim } { \box_use:N \l_ebproof_a_box } }
- \ebproof_push:N \l_ebproof_a_box
- \group_end:
-}
-
-
-%%% Deprecated statements
-
-% These statements were defined in versions 1.x of the package, they are
-% preserved for temporary upwards compatibility and will be removed in a
-% future version.
-
-\ebproof_new_deprecated_statement:nnnn { Alter } { m }
- { use~\token_to_str:c{rewrite}~instead } { \ebproofrewrite{ #1 \box\treebox } }
-\ebproof_new_deprecated_statement:nnnn { Delims } { }
- { use~\token_to_str:c{delims}~instead } { \ebproofdelims }
-\ebproof_new_deprecated_statement:nnnn { Ellipsis } { }
- { use~\token_to_str:c{ellipsis}~instead } { \ebproofellipsis }
-\ebproof_new_deprecated_statement:nnnn { Hypo } { }
- { use~\token_to_str:c{hypo}~instead } { \ebproofhypo }
-\ebproof_new_deprecated_statement:nnnn { Infer } { }
- { use~\token_to_str:c{infer}~instead } { \ebproofinfer }
-
-
-%%% Environment interface
-
-\ebproof_clear_stack:
-
-\tl_new:N \l_ebproof_start_level_tl
-
-\NewDocumentEnvironment { prooftree } { s O{} } {
- \keys_set_known:nnN { ebproof / proof~style } { #2 } \l_tmpa_tl
- \keys_set:nV { ebproof } \l_tmpa_tl
- \tl_set:Nx \l_ebproof_start_level_tl { \int_use:N \g_ebproof_level_int }
- \vbox_set:Nw \l_tmpa_box
- \ebproof_setup_statements:
-} {
- \vbox_set_end:
- \ebproof_pop:N \l_ebproof_a_box
- \int_compare:nNnF { \g_ebproof_level_int } = { \tl_use:N \l_ebproof_start_level_tl } {
- \PackageError{ebproof}{Malformed~proof~tree}{
- Some~hypotheses~were~declared~but~not~used~in~this~tree.}
- }
- \IfBooleanTF { #1 } {
- \[ \box_use:N \l_ebproof_a_box \]
- \ignorespacesafterend
- } {
- \hbox_unpack:N \c_empty_box
- \bool_if:NTF \l_ebproof_center_bool {
- \hbox:n { $ \tex_vcenter:D { \box_use:N \l_ebproof_a_box } $ }
- } {
- \box_use:N \l_ebproof_a_box
- }
- }
-}
-
-% A trick for the starred version:
-\cs_new:cpn { prooftree* } { \prooftree* }
-\cs_new:cpn { endprooftree* } { \endprooftree }