79 lines
1.5 KiB
Text
79 lines
1.5 KiB
Text
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universe u
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set_option pp.structureInstanceTypes true
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namespace Ex1
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structure A (α : Type u) where
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(x : α) (f : α → α := λ x => x)
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structure B (α : Type u) extends A α where
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(y : α := f (f x)) (g : α → α → α := λ x y => f x)
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structure C (α : Type u) extends B α where
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(z : α := g x y) (x := f z)
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end Ex1
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open Ex1
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def c1 : C Nat := { x := 1 }
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/--
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info: let __src := c1;
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{ toB := __src.toB, z := 2 : C Nat } : C Nat
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-/
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#guard_msgs in #check { c1 with z := 2 }
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theorem ex1 : { c1 with z := 2 }.z = 2 :=
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rfl
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/--
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info: ex1 :
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(let __src := c1;
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{ toB := __src.toB, z := 2 : C Nat }).z =
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2
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-/
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#guard_msgs in #check ex1
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theorem ex2 : { c1 with z := 2 }.x = c1.x :=
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rfl
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/--
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info: ex2 :
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(let __src := c1;
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{ toB := __src.toB, z := 2 : C Nat }).x =
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c1.x
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-/
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#guard_msgs in #check ex2
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def c2 : C (Nat × Nat) := { z := (1, 1) }
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/--
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info: let __src := c2;
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{
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x :=
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let __src := __src.x;
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(2, __src.snd),
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f := __src.f, y := __src.y, g := __src.g, z := __src.z : C (Nat × Nat) } : C (Nat × Nat)
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-/
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#guard_msgs in #check { c2 with x.fst := 2 }
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/--
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info: let __src := c2;
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{
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x :=
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let __src := __src.x;
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(3, __src.snd),
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f := __src.f, y := __src.y, g := __src.g, z := __src.z : C (Nat × Nat) } : C (Nat × Nat)
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-/
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#guard_msgs in #check { c2 with x.1 := 3 }
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/--
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info: have this :=
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let __src := c2.toB;
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{ toB := __src, z := __src.g __src.x __src.y : C (Nat × Nat) };
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this : C (Nat × Nat)
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-/
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#guard_msgs in #check show C _ from { c2.toB with .. }
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