24 lines
503 B
Text
24 lines
503 B
Text
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Variable f {A : Type} (a b : A) : A
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Variable N : Type
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Variable n1 : N
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Variable n2 : N
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Set lean::pp::implicit true
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Show f n1 n2
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Show f (fun x : N -> N, x) (fun y : _, y)
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Variable EqNice {A : Type} (lhs rhs : A) : Bool
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Infix 50 === : EqNice
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Show n1 === n2
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Check f n1 n2
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Check Congr::explicit
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Show f n1 n2
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Variable a : N
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Variable b : N
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Variable c : N
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Variable g : N -> N
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Axiom H1 : a = b && b = c
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Theorem Pr : (g a) = (g c) :=
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Congr (Refl g) (Trans (Conjunct1 H1) (Conjunct2 H1))
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Show Environment 2
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