author | wenzelm |
Mon, 25 Mar 2019 17:21:26 +0100 | |
changeset 69981 | 3dced198b9ec |
parent 66453 | cc19f7ca2ed6 |
permissions | -rw-r--r-- |
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renamed 'BNF_Examples' to 'Datatype_Examples' (cf. 'datatypes.pdf')
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(* Title: HOL/Datatype_Examples/TreeFsetI.thy |
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Author: Dmitriy Traytel, TU Muenchen |
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Author: Andrei Popescu, TU Muenchen |
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Copyright 2012 |
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Finitely branching possibly infinite trees, with sets of children. |
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*) |
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section \<open>Finitely Branching Possibly Infinite Trees, with Sets of Children\<close> |
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theory TreeFsetI |
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session-qualified theory imports: isabelle imports -U -i -d '~~/src/Benchmarks' -a;
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imports "HOL-Library.FSet" |
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begin |
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renamed BNF "(co)data" commands to names that are closer to their final names
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codatatype 'a treeFsetI = Tree (lab: 'a) (sub: "'a treeFsetI fset") |
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(* tree map (contrived example): *) |
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use new coinduction method and primcorec in examples
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primcorec tmap where |
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"lab (tmap f t) = f (lab t)" | |
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"sub (tmap f t) = fimage (tmap f) (sub t)" |
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lemma "tmap (f o g) x = tmap f (tmap g x)" |
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by (coinduction arbitrary: x) (auto simp: rel_fset_alt) |
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end |