24 lines
487 B
Text
24 lines
487 B
Text
import cast
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variables A A' B B' : Type
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variable x : A
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eval cast (refl A) x
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eval x = (cast (refl A) x)
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variable b : B
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definition f (x : A) : B := b
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axiom H : (A -> B) = (A' -> B)
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variable a' : A'
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eval (cast H f) a'
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axiom H2 : (A -> B) = (A' -> B')
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definition g (x : B') : Nat := 0
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eval g ((cast H2 f) a')
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check g ((cast H2 f) a')
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eval (cast H2 f) a'
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variables A1 A2 A3 : Type
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axiom Ha : A1 = A2
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axiom Hb : A2 = A3
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variable a : A1
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eval (cast Hb (cast Ha a))
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check (cast Hb (cast Ha a))
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