42 lines
897 B
Text
42 lines
897 B
Text
precedence `+`:65
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namespace nat
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variable nat : Type.{1}
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variable add : nat → nat → nat
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infixl + := add
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end
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namespace int
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using nat (nat)
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variable int : Type.{1}
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variable add : int → int → int
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infixl + := add
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variable of_nat : nat → int
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coercion of_nat
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end
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section
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-- Using "only" the notation and declarations from the namespaces nat and int
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using [notation] nat
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using [notation] int
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using [decls] nat
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using [decls] int
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variables n m : nat
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variables i j : int
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check n + m
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check i + j
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-- The following check does not work, since we are not using the coercions
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-- check n + i
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-- Here is a possible trick for this kind of configuration
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definition add_ni (a : nat) (b : int) := (of_nat a) + b
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definition add_in (a : int) (b : nat) := a + (of_nat b)
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infixl + := add_ni
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infixl + := add_in
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check add_ni
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check i + n
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check n + i
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end
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