40 lines
895 B
Text
40 lines
895 B
Text
namespace hidden
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set_option pp.coercions false
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#check if tt then "a" else "b"
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/- Remark: in the standard library nat_to_int and int_to_real are has_lift instances
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instead of has_coe. -/
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constant int : Type
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constant real : Type
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constant nat_to_int : has_coe nat int
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constant int_to_real : has_coe int real
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attribute [instance] nat_to_int int_to_real
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constant sine : real → real
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constants n m : nat
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constants i j : int
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constants x y : real
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#check sine x
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#check sine n
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#check sine i
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constant int_has_add : has_add int
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constant real_has_add : has_add real
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attribute [instance] int_has_add real_has_add
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#check x + i
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/- The following one does not work because the implicit argument ?A of add is bound to int
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when x is processed. -/
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#check i + x -- FAIL
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/- The workaround is to use the explicit lift -/
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#check ↑i + x
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#check x + n
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#check n + x -- FAIL
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#check ↑n + x
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end hidden
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