246 lines
5.7 KiB
Text
246 lines
5.7 KiB
Text
__HEADER__(Automatic references to theorems in proofs. Claim counters within proofs)
|
|
|
|
\ExplSyntaxOn
|
|
|
|
\RequirePackage{amssymb}
|
|
\RequirePackage{amsthm}
|
|
\RequirePackage{xparse}
|
|
\RequirePackage{refcount}
|
|
\RequirePackage{translator}
|
|
\RequirePackage{mkessler-subproof} % TODO: let PyTeX format the mkessler- prefix
|
|
|
|
|
|
%%%% Hook management
|
|
|
|
\cs_new:Npn__PACKAGE_MACRO__(autoref:n)
|
|
{
|
|
\ref
|
|
}
|
|
|
|
\AddToHook{package/hyperref/after}
|
|
{
|
|
\cs_set:Npn__PACKAGE_MACRO__(autoref:n)
|
|
{
|
|
\autoref
|
|
}
|
|
}
|
|
|
|
%%% Saving old definitions
|
|
|
|
\cs_new_eq:NN __PACKAGE_MACRO__(saved_proof:w) \proof
|
|
\cs_new_eq:NN __PACKAGE_MACRO__(saved_endproof:) \endproof
|
|
\cs_new_eq:NN __PACKAGE_MACRO__(saved_subproof:n) \rawsubproof
|
|
\cs_new_eq:NN __PACKAGE_MACRO__(saved_endsubproof:) \rawendsubproof
|
|
|
|
%%% Internal variables
|
|
|
|
\int_new:N __PACKAGE_MACRO__(proofdepth_int)
|
|
\seq_new:N __PACKAGE_MACRO__(nested_claim_counter_values_seq)
|
|
\prop_new:N __PACKAGE_MACRO__(refproof_claim_counters_prop)
|
|
|
|
\cs_generate_variant:Nn \seq_push:Nn { N x }
|
|
|
|
%%% Language translations
|
|
|
|
\usedictionary{translator-proof-dictionary}
|
|
|
|
%%%Now, we internally got a proof and a subproof environment
|
|
%%%Make them available as 'old' variants, with their defautl behaviour
|
|
\NewDocumentEnvironment{oldproof}{ o }
|
|
{
|
|
\IfValueTF { #1 }
|
|
{
|
|
__PACKAGE_MACRO__(saved_proof:w) { #1 }
|
|
}
|
|
{
|
|
__PACKAGE_MACRO__(saved_proof:w)
|
|
}
|
|
}
|
|
{
|
|
__PACKAGE_MACRO__(saved_endproof:)
|
|
}
|
|
|
|
\NewDocumentEnvironment{oldsubproof}{ o }
|
|
{
|
|
\IfValueTF { #1 }
|
|
{
|
|
__PACKAGE_MACRO__(saved_subproof:n) { #1 }
|
|
}
|
|
{
|
|
__PACKAGE_MACRO__(saved_subproof:n) { \translate { Subproof } }
|
|
}
|
|
}
|
|
{
|
|
__PACKAGE_MACRO__(saved_endsubproof:)
|
|
}
|
|
|
|
%%% Main implementation
|
|
|
|
%Introduce claim environment
|
|
\newtheorem{claim}{\translate{Claim}}
|
|
\newtheorem*{claim*}{\translate{Claim}}
|
|
\AtBeginDocument{\def\claimautorefname{\translate{Claim}}}
|
|
|
|
|
|
\cs_new:Nn __PACKAGE_MACRO__(enter_proof:)
|
|
{
|
|
\int_gincr:N __PACKAGE_MACRO__(proofdepth_int)
|
|
\seq_gpush:Nx __PACKAGE_MACRO__(nested_claim_counter_values_seq)
|
|
{
|
|
\arabic { claim }
|
|
}
|
|
\group_begin:
|
|
}
|
|
|
|
\cs_new:Nn __PACKAGE_MACRO__(leave_proof:)
|
|
{
|
|
\group_end:
|
|
\seq_gpop:NN __PACKAGE_MACRO__(nested_claim_counter_values_seq) \l_tmpa_tl
|
|
\setcounter { claim } { \tl_use:N \l_tmpa_tl }
|
|
\int_gdecr:N __PACKAGE_MACRO__(proofdepth_int)
|
|
}
|
|
|
|
|
|
% Usage:
|
|
% #1 = \BooleanTrue or \BooleanFalse indicating presence of star
|
|
% #2 = star version of translation
|
|
% #3 = nonstar version of translation
|
|
\cs_new:Nn __PACKAGE_MACRO__(set_proof_prefix:nnn)
|
|
{
|
|
\IfBooleanTF { #1 }
|
|
{
|
|
\cs_set:Nn __PACKAGE_MACRO__(proof_prefix:)
|
|
{
|
|
\translate { #2 }
|
|
}
|
|
}
|
|
{
|
|
\cs_set:Nn __PACKAGE_MACRO__(proof_prefix:)
|
|
{
|
|
\translate { #3 }
|
|
}
|
|
}
|
|
}
|
|
|
|
\cs_new:Nn __PACKAGE_MACRO__(proof_comment:n)
|
|
{
|
|
\IfValueT { #1 }
|
|
{
|
|
\c_space_tl ( #1 )
|
|
}
|
|
}
|
|
|
|
|
|
\NewDocumentEnvironment{refproof}{s m !o}
|
|
{
|
|
__PACKAGE_MACRO__(enter_proof:)
|
|
|
|
\prop_get:NnN
|
|
__PACKAGE_MACRO__(refproof_claim_counters_prop)
|
|
{ #2 }
|
|
\l_tmpa_tl
|
|
|
|
\quark_if_no_value:NTF \l_tmpa_tl
|
|
{
|
|
\setcounter { claim } { 0 }
|
|
__PACKAGE_MACRO__(set_proof_prefix:nnn) { #1 }
|
|
{ Proof* ~ of }
|
|
{ Proof ~ of }
|
|
}
|
|
{
|
|
\setcounter { claim } { \tl_use:N \l_tmpa_tl }
|
|
__PACKAGE_MACRO__(set_proof_prefix:nnn) { #1 }
|
|
{ Continuation ~ of ~ proof* ~ of }
|
|
{ Continuation ~ of ~ proof ~ of }
|
|
}
|
|
% Set up counter number printing as subindexed by numbering of the reference
|
|
\renewcommand \theclaim
|
|
{
|
|
\getrefnumber { #2 } . \arabic { claim }
|
|
}
|
|
__PACKAGE_MACRO__(saved_proof:w)
|
|
[
|
|
__PACKAGE_MACRO__(proof_prefix:)
|
|
\c_space_tl
|
|
__PACKAGE_MACRO__(autoref:n) { #2 }
|
|
__PACKAGE_MACRO__(proof_comment:n) { #3 }
|
|
]
|
|
}
|
|
{
|
|
__PACKAGE_MACRO__(saved_endproof:)
|
|
\prop_gput:Nnx __PACKAGE_MACRO__(refproof_claim_counters_prop)
|
|
{ #2 }
|
|
{
|
|
\value{claim}
|
|
}
|
|
__PACKAGE_MACRO__(leave_proof:)
|
|
}
|
|
|
|
%%% A 'smart' proof environment
|
|
\AtBeginDocument{
|
|
\RenewDocumentEnvironment{proof}{!s !o}
|
|
{
|
|
__PACKAGE_MACRO__(enter_proof:)
|
|
|
|
\setcounter{claim}{0}
|
|
|
|
\renewcommand \theclaim
|
|
{
|
|
\arabic { claim }
|
|
}
|
|
\int_compare:nNnTF __PACKAGE_MACRO__(proofdepth_int) > 1
|
|
{
|
|
__PACKAGE_MACRO__(set_proof_prefix:nnn) { #1 }
|
|
{ Subproof* }
|
|
{ Subproof }
|
|
__PACKAGE_MACRO__(saved_subproof:n)
|
|
{
|
|
__PACKAGE_MACRO__(proof_prefix:)
|
|
__PACKAGE_MACRO__(proof_comment:n) { #2 }
|
|
}
|
|
}
|
|
{
|
|
__PACKAGE_MACRO__(set_proof_prefix:nnn) { #1 }
|
|
{ Proof* }
|
|
{ Proof }
|
|
__PACKAGE_MACRO__(saved_proof:w)
|
|
[
|
|
__PACKAGE_MACRO__(proof_prefix:)
|
|
__PACKAGE_MACRO__(proof_comment:n) { #2 }
|
|
]
|
|
}
|
|
}
|
|
{
|
|
__PACKAGE_MACRO__(saved_endproof:)
|
|
__PACKAGE_MACRO__(leave_proof:)
|
|
}
|
|
}
|
|
|
|
\RenewDocumentEnvironment{subproof}{!s !o}
|
|
{
|
|
__PACKAGE_MACRO__(enter_proof:)
|
|
|
|
\setcounter { claim } { 0 }
|
|
\renewcommand \theclaim
|
|
{
|
|
\arabic { claim }
|
|
}
|
|
|
|
__PACKAGE_MACRO__(set_proof_prefix:nnn) { #1 }
|
|
{ Subproof* }
|
|
{ Subproof }
|
|
__PACKAGE_MACRO__(saved_subproof:n)
|
|
{
|
|
__PACKAGE_MACRO__(proof_prefix:)
|
|
__PACKAGE_MACRO__(proof_comment:n) { #2 }
|
|
}
|
|
}
|
|
{
|
|
__PACKAGE_MACRO__(saved_endsubproof:)
|
|
__PACKAGE_MACRO__(leave_proof:)
|
|
}
|
|
|
|
\DeclareDocumentCommand { \proofdepth } { }
|
|
{
|
|
\int_to_arabic:n __PACKAGE_MACRO__(proofdepth_int)
|
|
}
|