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section \<open>Main HOL\<close>
text \<open>
Classical Higher-order Logic -- only ``Main'', excluding real and
complex numbers etc.
\<close>
theory Main
imports
Predicate_Compile
Quickcheck_Narrowing
Extraction
Nunchaku
BNF_Greatest_Fixpoint
Filter
Conditionally_Complete_Lattices
Binomial
GCD
begin
text \<open>Namespace cleanup\<close>
hide_const (open)
czero cinfinite cfinite csum cone ctwo Csum cprod cexp image2 image2p vimage2p Gr Grp collect
fsts snds setl setr convol pick_middlep fstOp sndOp csquare relImage relInvImage Succ Shift
shift proj id_bnf
hide_fact (open) id_bnf_def type_definition_id_bnf_UNIV
text \<open>Syntax cleanup\<close>
no_notation
bot ("\") and
top ("\") and
inf (infixl "\" 70) and
sup (infixl "\" 65) and
Inf ("\") and
Sup ("\") and
ordLeq2 (infix "<=o" 50) and
ordLeq3 (infix "\o" 50) and
ordLess2 (infix " 50) and
ordIso2 (infix "=o" 50) and
card_of ("|_|") and
BNF_Cardinal_Arithmetic.csum (infixr "+c" 65) and
BNF_Cardinal_Arithmetic.cprod (infixr "*c" 80) and
BNF_Cardinal_Arithmetic.cexp (infixr "^c" 90) and
BNF_Def.convol ("\(_,/ _)\")
bundle cardinal_syntax begin
notation
ordLeq2 (infix "<=o" 50) and
ordLeq3 (infix "\o" 50) and
ordLess2 (infix " 50) and
ordIso2 (infix "=o" 50) and
card_of ("|_|") and
BNF_Cardinal_Arithmetic.csum (infixr "+c" 65) and
BNF_Cardinal_Arithmetic.cprod (infixr "*c" 80) and
BNF_Cardinal_Arithmetic.cexp (infixr "^c" 90)
alias cinfinite = BNF_Cardinal_Arithmetic.cinfinite
alias czero = BNF_Cardinal_Arithmetic.czero
alias cone = BNF_Cardinal_Arithmetic.cone
alias ctwo = BNF_Cardinal_Arithmetic.ctwo
end
no_syntax
"_INF1" :: "pttrns \ 'b \ 'b" ("(3\_./ _)" [0, 10] 10)
"_INF" :: "pttrn \ 'a set \ 'b \ 'b" ("(3\_\_./ _)" [0, 0, 10] 10)
"_SUP1" :: "pttrns \ 'b \ 'b" ("(3\_./ _)" [0, 10] 10)
"_SUP" :: "pttrn \ 'a set \ 'b \ 'b" ("(3\_\_./ _)" [0, 0, 10] 10)
end
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