55 lines
978 B
Text
55 lines
978 B
Text
set_option pp.mvars false
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universe u
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structure Fn (E I : Sort u) := (exp : E) (imp : I)
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instance (E I : Sort u) : CoeFun (Fn E I) (fun _ => I) := {coe := fun K => K.imp}
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class Bar.{w} (P : Sort u) :=
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fn : P -> Sort w
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variable {P : Sort u} (B : Bar P)
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variable (fn : Fn ((p : P) -> B.fn p) ({p : P} -> B.fn p))
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#check (@fn : {p : P} → Bar.fn p) -- Result is as expected (implicit)
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/-
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fn.imp : {p : P} → Bar.fn p
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-/
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variable (p : P)
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variable (Bp : Bar.fn p)
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/--
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error: function expected at
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fn.imp
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term has type
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Bar.fn ?_
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-/
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#guard_msgs in
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#check fn Bp
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/--
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error: function expected at
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fn.imp
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term has type
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Bar.fn ?_
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-/
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#guard_msgs in
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#check fn p
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#check fn (p := p)
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variable (fn' : Fn ((p : P) -> B.fn p -> B.fn p) ({p : P} -> B.fn p -> B.fn p))
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#check fn' Bp
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/--
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error: Application type mismatch: In the application
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fn'.imp p
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the final argument
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p
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has type
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P : Sort u
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but is expected to have type
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Bar.fn ?_ : Sort _
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-/
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#guard_msgs in
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#check fn' p
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