src/HOL/Pre_Main.thy
author paulson <lp15@cam.ac.uk>
Tue Apr 25 16:39:54 2017 +0100 (2017-04-25)
changeset 65578 e4997c181cce
parent 65552 f533820e7248
child 65813 bdd17b18e103
permissions -rw-r--r--
New material from PNT proof, as well as more default [simp] declarations. Also removed duplicate theorems about geometric series
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section \<open>Main HOL\<close>
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theory Pre_Main
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imports Predicate_Compile Quickcheck_Narrowing Extraction Nitpick BNF_Greatest_Fixpoint Filter Conditionally_Complete_Lattices
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begin
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text \<open>
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  Classical Higher-order Logic -- only ``Main'', excluding real and
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  complex numbers etc.
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\<close>
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no_notation
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  bot ("\<bottom>") and
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  top ("\<top>") and
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  inf (infixl "\<sqinter>" 70) and
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  sup (infixl "\<squnion>" 65) and
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  Inf ("\<Sqinter>_" [900] 900) and
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  Sup ("\<Squnion>_" [900] 900) and
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  ordLeq2 (infix "<=o" 50) and
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  ordLeq3 (infix "\<le>o" 50) and
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  ordLess2 (infix "<o" 50) and
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  ordIso2 (infix "=o" 50) and
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  card_of ("|_|") and
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  csum (infixr "+c" 65) and
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  cprod (infixr "*c" 80) and
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  cexp (infixr "^c" 90) and
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  convol ("\<langle>(_,/ _)\<rangle>")
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hide_const (open)
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  czero cinfinite cfinite csum cone ctwo Csum cprod cexp image2 image2p vimage2p Gr Grp collect
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  fsts snds setl setr convol pick_middlep fstOp sndOp csquare relImage relInvImage Succ Shift
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  shift proj id_bnf
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hide_fact (open) id_bnf_def type_definition_id_bnf_UNIV
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no_syntax
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  "_INF1"     :: "pttrns \<Rightarrow> 'b \<Rightarrow> 'b"           ("(3\<Sqinter>_./ _)" [0, 10] 10)
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  "_INF"      :: "pttrn \<Rightarrow> 'a set \<Rightarrow> 'b \<Rightarrow> 'b"  ("(3\<Sqinter>_\<in>_./ _)" [0, 0, 10] 10)
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  "_SUP1"     :: "pttrns \<Rightarrow> 'b \<Rightarrow> 'b"           ("(3\<Squnion>_./ _)" [0, 10] 10)
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  "_SUP"      :: "pttrn \<Rightarrow> 'a set \<Rightarrow> 'b \<Rightarrow> 'b"  ("(3\<Squnion>_\<in>_./ _)" [0, 0, 10] 10)
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end