54 lines
1.5 KiB
Text
54 lines
1.5 KiB
Text
-- String.reduceAppend
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example : "hello" ++ " " ++ "world" = "hello world" := by simp
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example : "" ++ "a" = "a" := by simp
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example : "a" ++ "" = "a" := by simp
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example : "" ++ "" = "" := by simp
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-- String.reduceOfList
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example : String.ofList ['a', 'b', 'c'] = "abc" := by simp
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example : String.ofList [] = "" := by simp
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example : String.ofList ['x'] = "x" := by simp
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-- String.reduceToList
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example : "abc".toList = ['a', 'b', 'c'] := by simp
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example : "".toList = [] := by simp
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example : "x".toList = ['x'] := by simp
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example : "hello".toList = ['h', 'e', 'l', 'l', 'o'] := by simp
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-- String.reducePush
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example : "abc".push 'd' = "abcd" := by simp
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example : "".push 'a' = "a" := by simp
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-- String.reduceEq
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example : "hello" = "hello" := by simp
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example : "hello" = "foo" → False := by simp
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-- String.reduceNe
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example : "hello" ≠ "foo" := by simp
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-- String.reduceBEq
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example : ("hello" == "hello") = true := by simp
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example : ("hello" == "foo") = false := by simp
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-- String.reduceBNe
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example : ("hello" != "foo") = true := by simp
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example : ("hello" != "hello") = false := by simp
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-- String.reduceLT
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example : "abc" < "abd" := by simp
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example : "a" < "b" := by simp
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-- String.reduceLE
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example : "abc" ≤ "abc" := by simp
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example : "abc" ≤ "abd" := by simp
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-- String.reduceGT
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example : "abd" > "abc" := by simp
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example : "b" > "a" := by simp
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-- String.reduceGE
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example : "abc" ≥ "abc" := by simp
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example : "abd" ≥ "abc" := by simp
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-- Combined: roundtrip toList/ofList
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example : String.ofList "hello".toList = "hello" := by simp
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