diff options
author | Josh Chen | 2021-01-21 00:52:13 +0000 |
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committer | Josh Chen | 2021-01-21 00:52:13 +0000 |
commit | aff3d43d9865e7b8d082f0c239d2c73eee1fb291 (patch) | |
tree | 2743702093fe9e872727dc306e1f620af16c9767 /spartan/lib | |
parent | 6d8fa47f205e24a94416279fab41f09db6f02b8b (diff) |
renamings
Diffstat (limited to 'spartan/lib')
-rw-r--r-- | spartan/lib/List.thy | 6 | ||||
-rw-r--r-- | spartan/lib/Maybe.thy | 4 | ||||
-rw-r--r-- | spartan/lib/Prelude.thy | 6 |
3 files changed, 8 insertions, 8 deletions
diff --git a/spartan/lib/List.thy b/spartan/lib/List.thy index 1501221..4beb9b6 100644 --- a/spartan/lib/List.thy +++ b/spartan/lib/List.thy @@ -114,7 +114,7 @@ Lemma head_type [type]: Lemma head_of_cons [comp]: assumes "A: U i" "x: A" "xs: List A" shows "head (x # xs) \<equiv> some x" - unfolding head_def by reduce + unfolding head_def by compute Lemma tail_type [type]: assumes "A: U i" "xs: List A" @@ -124,7 +124,7 @@ Lemma tail_type [type]: Lemma tail_of_cons [comp]: assumes "A: U i" "x: A" "xs: List A" shows "tail (x # xs) \<equiv> xs" - unfolding tail_def by reduce + unfolding tail_def by compute subsection \<open>Append\<close> @@ -185,7 +185,7 @@ Lemma rev_type [type]: Lemma rev_nil [comp]: assumes "A: U i" shows "rev (nil A) \<equiv> nil A" - unfolding rev_def by reduce + unfolding rev_def by compute end diff --git a/spartan/lib/Maybe.thy b/spartan/lib/Maybe.thy index e06a07b..452acc2 100644 --- a/spartan/lib/Maybe.thy +++ b/spartan/lib/Maybe.thy @@ -40,7 +40,7 @@ Lemma Maybe_comp_none: shows "MaybeInd A C c\<^sub>0 f (none A) \<equiv> c\<^sub>0" using assms unfolding Maybe_def MaybeInd_def none_def some_def - by reduce + by compute Lemma Maybe_comp_some: assumes @@ -52,7 +52,7 @@ Lemma Maybe_comp_some: shows "MaybeInd A C c\<^sub>0 f (some A a) \<equiv> f a" using assms unfolding Maybe_def MaybeInd_def none_def some_def - by reduce + by compute lemmas [form] = MaybeF and diff --git a/spartan/lib/Prelude.thy b/spartan/lib/Prelude.thy index 0043c1e..56adbfc 100644 --- a/spartan/lib/Prelude.thy +++ b/spartan/lib/Prelude.thy @@ -116,7 +116,7 @@ Lemma if_true: shows "ifelse C true a b \<equiv> a" unfolding ifelse_def true_def using assms unfolding Bool_def true_def false_def - by reduce + by compute Lemma if_false: assumes @@ -126,7 +126,7 @@ Lemma if_false: shows "ifelse C false a b \<equiv> b" unfolding ifelse_def false_def using assms unfolding Bool_def true_def false_def - by reduce + by compute lemmas [form] = BoolF and @@ -145,7 +145,7 @@ translations "if x then a else b" \<leftharpoondown> "CONST ifelse C x a b" subsection \<open>Logical connectives\<close> -definition not ("!_") where "not x \<equiv> ifelse (K Bool) x false true" +definition not ("!_") where "!x \<equiv> ifelse (K Bool) x false true" end |