2014-12-01 05:16:01 +00:00
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prelude
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2014-06-26 16:31:27 +00:00
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precedence `+`:65
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namespace nat
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2014-10-02 23:20:52 +00:00
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constant nat : Type.{1}
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constant add : nat → nat → nat
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2014-06-26 16:31:27 +00:00
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infixl + := add
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2014-08-07 23:59:08 +00:00
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end nat
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2014-06-26 16:31:27 +00:00
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namespace int
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2014-09-03 23:00:38 +00:00
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open nat (nat)
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2014-10-02 23:20:52 +00:00
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constant int : Type.{1}
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constant add : int → int → int
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2014-06-26 16:31:27 +00:00
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infixl + := add
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2014-10-02 23:20:52 +00:00
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constant of_nat : nat → int
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2014-08-07 23:59:08 +00:00
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end int
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2014-06-26 16:31:27 +00:00
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namespace int_coercions
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2015-01-26 19:31:12 +00:00
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attribute int.of_nat [coercion]
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2014-08-07 23:59:08 +00:00
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end int_coercions
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2014-06-26 16:31:27 +00:00
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2014-09-03 23:00:38 +00:00
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-- Open "only" the notation and declarations from the namespaces nat and int
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open nat
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open int
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2014-06-26 16:31:27 +00:00
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2014-10-02 23:20:52 +00:00
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constants n m : nat
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constants i j : int
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2014-06-26 16:31:27 +00:00
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check n + m
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check i + j
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section
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-- Temporarily use the int_coercions
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2014-09-03 23:00:38 +00:00
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open int_coercions
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2014-06-26 16:31:27 +00:00
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check n + i
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end
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-- The following one is an error
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-- check n + i
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