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32 lines
642 B
Plaintext
32 lines
642 B
Plaintext
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data Nat : Type where
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Z : Nat
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S : Nat -> Nat
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plus : Nat -> Nat -> Nat
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plus Z $y = y
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plus (S $k) $y = S (plus k y)
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data Eq : $a -> $b -> Type where
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Refl : Eq $x $x
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data Test : Type where
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MkTest : Integer -> Integer -> Test
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eqTest : Eq (plus (S (S Z)) (S (S Z))) (S (S (S (S Z))))
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eqTest = Refl
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etaGood1 : Eq MkTest (\x => \y => MkTest ? ?)
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etaGood1 = Refl
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etaGood1b : Eq (\x => \y => MkTest ? ?) MkTest
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etaGood1b = Refl
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etaGood2: Eq (MkTest 1) (\x => MkTest ? x)
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etaGood2 = Refl
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etaGood3: (f : $a -> $b) -> Eq f (\x => f x)
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etaGood3 $f = Refl
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-- etaBad : Eq MkTest (\x : Char => \y => MkTest ? ?)
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-- etaBad = Refl
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