source:
src/utilities/sigma.ma
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1 | include "basics/types.ma". |
2 | |
3 | (* Stuff about Sigma types *) |
4 | definition pi1: ∀A.∀P:A → Prop. (Σx:A. P x) → A ≝ |
5 | λA,P,c. match c with [ dp w _ ⇒ w ]. |
6 | coercion pi1: ∀A.∀P:A → Prop.∀p:(Σx:A. P x).A ≝ pi1 on _p:Σx:?.? to ?. |
7 | |
8 | definition pi2: ∀A.∀P:A → Prop. ∀x:Σx:A. P x. P x ≝ |
9 | λA,P,c. match c return λx:Σx:A. P x. P x with [ dp _ p ⇒ p ]. |
10 |
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