59 lines
1.6 KiB
Text
59 lines
1.6 KiB
Text
import Std
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set_option cbv.warning false
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-- String append
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theorem testAppend : "abc" ++ "def" = "abcdef" := by cbv
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/--
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info: theorem testAppend : "abc" ++ "def" = "abcdef" :=
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of_eq_true (Eq.trans (congrFun' (congrArg Eq (Eq.refl "abcdef")) "abcdef") (eq_self "abcdef"))
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-/
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#guard_msgs in
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#print testAppend
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-- String push
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theorem testPush : String.push "abc" 'd' = "abcd" := by cbv
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/--
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info: theorem testPush : "abc".push 'd' = "abcd" :=
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of_eq_true (Eq.trans (congrFun' (congrArg Eq (Eq.refl "abcd")) "abcd") (eq_self "abcd"))
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-/
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#guard_msgs in
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#print testPush
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-- String singleton
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theorem testSingleton : String.singleton 'a' = "a" := by cbv
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/--
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info: theorem testSingleton : String.singleton 'a' = "a" :=
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of_eq_true (Eq.trans (congrFun' (congrArg Eq (Eq.refl "a")) "a") (eq_self "a"))
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-/
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#guard_msgs in
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#print testSingleton
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-- String.ofList
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theorem testOfList : String.ofList ['a', 'b', 'c'] = "abc" := by cbv
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/--
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info: theorem testOfList : String.ofList ['a', 'b', 'c'] = "abc" :=
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of_eq_true (Eq.trans (congrFun' (congrArg Eq (Eq.refl "abc")) "abc") (eq_self "abc"))
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-/
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#guard_msgs in
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#print testOfList
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-- String.toList
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theorem testToList : String.toList "abc" = ['a', 'b', 'c'] := by cbv
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/--
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info: theorem testToList : "abc".toList = ['a', 'b', 'c'] :=
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of_eq_true (Eq.trans (congrFun' (congrArg Eq (Eq.refl ['a', 'b', 'c'])) ['a', 'b', 'c']) (eq_self ['a', 'b', 'c']))
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-/
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#guard_msgs in
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#print testToList
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-- Empty string operations
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theorem testAppendEmpty : "" ++ "" = "" := by cbv
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theorem testOfListEmpty : String.ofList [] = "" := by cbv
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theorem testToListEmpty : String.toList "" = [] := by cbv
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