26 lines
420 B
Text
26 lines
420 B
Text
import logic
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variable nat : Type.{1}
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variable int : Type.{1}
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variable nat_add : nat → nat → nat
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infixl `+`:65 := nat_add
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variable int_add : int → int → int
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infixl `+`:65 := int_add
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variable of_nat : nat → int
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coercion of_nat
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variables a b : nat
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variables i j : int
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abbreviation c1 := a + b
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theorem T1 : c1 = nat_add a b :=
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eq.refl _
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abbreviation c2 := i + j
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theorem T2 : c2 = int_add i j :=
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eq.refl _
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