37 lines
1.2 KiB
Text
37 lines
1.2 KiB
Text
universe l
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constants (A : Type.{l})
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definition q (x : A) := x
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definition h (x : A) : A := q x
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definition g (x y : A) := h y
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definition f (x y z : A) := g (g x y) z
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definition d (x y z w : A) := f (f x y z) (f y z w) (f x w z)
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definition h.rfl [defeq] (x : A) : h x = x := rfl
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definition g.rfl [defeq] (x y : A) : g x y = y := rfl
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definition f.rfl [defeq] (x y z : A) : f x y z = z := rfl
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definition d.rfl [defeq] (x y z w : A) : d x y z w = z := rfl
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definition h.def [defeq] (x : A) : h x = q x := rfl
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definition g.def [defeq] (x y : A) : g x y = h y := rfl
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definition f.def [defeq] (x y z : A) : f x y z = g (g x y) z := rfl
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definition d.def [defeq] (x y z w : A) : d x y z w = f (f x y z) (f y z w) (f x w z) := rfl
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-- Confirm that more recent annotations get priority
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print [defeq]
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attribute h.rfl [defeq] [priority 1001]
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attribute g.rfl [defeq] [priority 1001]
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attribute f.rfl [defeq] [priority 1001]
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attribute d.rfl [defeq] [priority 1001]
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-- Confirm that priority annotations override
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print [defeq]
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attribute h.def [defeq] [priority 1001]
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attribute g.def [defeq] [priority 1001]
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attribute f.def [defeq] [priority 1001]
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attribute d.def [defeq] [priority 1001]
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-- Confirm that most recent annotations get priority to break explicit priority ties
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print [defeq]
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