105c29b51e
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
15 lines
No EOL
429 B
Text
15 lines
No EOL
429 B
Text
-- Copyright (c) 2014 Microsoft Corporation. All rights reserved.
|
|
-- Released under Apache 2.0 license as described in the file LICENSE.
|
|
-- Author: Leonardo de Moura
|
|
import logic
|
|
|
|
namespace sum
|
|
inductive sum (A : Type) (B : Type) : Type :=
|
|
| inl : A → sum A B
|
|
| inr : B → sum A B
|
|
|
|
infixr `+`:25 := sum
|
|
|
|
theorem induction_on {A : Type} {B : Type} {C : Prop} (s : A + B) (H1 : A → C) (H2 : B → C) : C :=
|
|
sum_rec H1 H2 s
|
|
end |