4f2e0c6d7f
The new command provides a uniform way to set declaration attributes. It replaces the commands: class, instance, coercion, multiple_instances, reducible, irreducible
40 lines
855 B
Text
40 lines
855 B
Text
prelude
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precedence `+`:65
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namespace nat
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constant nat : Type.{1}
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constant add : nat → nat → nat
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infixl + := add
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end nat
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namespace int
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open nat (nat)
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constant int : Type.{1}
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constant add : int → int → int
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infixl + := add
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constant of_nat : nat → int
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attribute of_nat [coercion]
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end int
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-- Open "only" the notation and declarations from the namespaces nat and int
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open [notations] nat
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open [notations] int
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open [decls] nat
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open [decls] int
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constants n m : nat
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constants 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 open 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 i + n
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check n + i
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