lean4-htt/tests/lean/diamond2.lean

42 lines
737 B
Text
Raw Blame History

This file contains ambiguous Unicode characters

This file contains Unicode characters that might be confused with other characters. If you think that this is intentional, you can safely ignore this warning. Use the Escape button to reveal them.

structure Bar (α : Type) where
a : α
x : Nat → α
structure Baz (α : Type) where
a : αα
β : Type
b : α → β
set_option structureDiamondWarning false
structure Foo1 (α : Type) extends Bar (αα), Baz α
#check Foo1.mk
def f1 (x : Nat) : Foo1 Nat :=
{ a := id
x := (· + ·)
b := fun _ => "" }
structure Boo1 (α : Type) extends Baz α where
x1 : α
structure Boo2 (α : Type) extends Boo1 α where
x2 : α
structure Foo2 (α : Type) extends Bar (αα), Boo2 α
#check Foo2.mk
def f2 (v : Nat) : Foo2 Nat :=
{ a := id
x := (· + ·)
b := fun _ => ""
x1 := 1
x2 := v }
theorem ex2 (v : Nat) : (f2 v |>.x2) = v :=
rfl
#print Foo2.toBar
#print Foo2.toBoo2