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(* ID: $Id$
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Author: Florian Haftmann, TU Muenchen
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*)
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header {* Combinators for structured results *}
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theory CodeRevappl
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imports Main
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begin
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section {* Combinators for structured results *}
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20707
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subsection {* primitive definitions *}
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definition
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revappl :: "'a \<Rightarrow> ('a \<Rightarrow> 'b) \<Rightarrow> 'b" (infixl "\<triangleright>" 55)
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revappl_def: "x \<triangleright> f = f x"
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revappl_snd :: "'c \<times> 'a \<Rightarrow> ('a \<Rightarrow> 'b) \<Rightarrow> 'c \<times> 'b" (infixl "|\<triangleright>" 55)
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revappl_snd_split: "z |\<triangleright> f = (fst z , f (snd z))"
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revappl_swamp :: "'c \<times> 'a \<Rightarrow> ('a \<Rightarrow> 'd \<times> 'b) \<Rightarrow> ('c \<times> 'd) \<times> 'b" (infixl "|\<triangleright>\<triangleright>" 55)
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revappl_swamp_split: "z |\<triangleright>\<triangleright> f = ((fst z, fst (f (snd z))), snd (f (snd z)))"
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revappl_uncurry :: "'c \<times> 'a \<Rightarrow> ('c \<Rightarrow> 'a \<Rightarrow> 'b) \<Rightarrow> 'b" (infixl "\<turnstile>\<triangleright>" 55)
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revappl_uncurry_split: "z \<turnstile>\<triangleright> f = f (fst z) (snd z)"
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20707
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subsection {* lemmas *}
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lemma revappl_snd_def [code]:
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"(y, x) |\<triangleright> f = (y, f x)" unfolding revappl_snd_split by simp
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lemma revappl_swamp_def [code]:
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"(y, x) |\<triangleright>\<triangleright> f = (let (z, w) = f x in ((y, z), w))" unfolding Let_def revappl_swamp_split split_def by simp
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lemma revappl_uncurry_def [code]:
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"(y, x) \<turnstile>\<triangleright> f = f y x" unfolding revappl_uncurry_split by simp
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lemmas revappl = revappl_def revappl_snd_def revappl_swamp_def revappl_uncurry_def
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lemmas revappl_split = revappl_def revappl_snd_split revappl_swamp_split revappl_uncurry_split
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end |