lean2/library/data/sigma/decl.lean

21 lines
636 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, Jeremy Avigad, Floris van Doorn
import logic.eq logic.heq data.unit
structure sigma {A : Type} (B : A → Type) :=
dpair :: (dpr1 : A) (dpr2 : B dpr1)
notation `Σ` binders `,` r:(scoped P, sigma P) := r
namespace sigma
notation `dpr₁` := dpr1
notation `dpr₂` := dpr2
namespace ops
postfix `.1`:10000 := dpr1
postfix `.2`:10000 := dpr2
notation `⟨` t:(foldr `,`:0 (e r, sigma.dpair e r)) `⟩`:0 := t --input ⟨ ⟩ as \< \>
end ops
end sigma