lean4-htt/tests/lean/run/interp.lean
Sebastian Ullrich fd2c42a8bf chore(library, tests): switch to new attribute declaration syntax
sed -Ei 's/^(\s*)((private |protected )?(noncomputable )?(abbreviation|definition|meta_definition|theorem|lemma|proposition|corollary)\s+\S+\s*)((\s*\[(\S+(\s+[0-9]+)*|priority.*)\])+)\s*/\1attribute \6\n\1\2/' library/**/*.lean tests/**/*.lean
sed -Ei 's/\s+$//' library/**/*.lean  # remove trailing whitespace
2016-08-12 15:36:12 -07:00

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open bool nat
open function
inductive univ :=
| ubool : univ
| unat : univ
| uarrow : univ → univ → univ
open univ
attribute [reducible]
definition interp : univ → Type₁
| ubool := bool
| unat := nat
| (uarrow fr to) := interp fr → interp to
definition foo : Π (u : univ) (el : interp u), interp u
| ubool tt := ff
| ubool ff := tt
| unat n := succ n
| (uarrow fr to) f := λ x : interp fr, f (foo fr x)
definition is_even : nat → bool
| zero := tt
| (succ n) := bnot (is_even n)
example : foo unat (10:nat) = 11 := rfl
example : foo ubool tt = ff := rfl
example : foo (uarrow unat ubool) (λ x : nat, is_even x) 3 = tt := rfl
example : foo (uarrow unat ubool) (λ x : nat, is_even x) 4 = ff := rfl