TheHoTTGame/1FundamentalGroup/Preambles/P3.agda
2021-11-13 23:18:44 +00:00

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module 1FundamentalGroup.Preambles.P3 where
open import Cubical.Foundations.Prelude public
renaming (transport to pathToFun ;
transportRefl to pathToFunRefl ;
subst to endPt) public
open import Cubical.Foundations.Isomorphism public
open import Cubical.Foundations.GroupoidLaws
renaming (lCancel to sym∙ ; rCancel to ∙sym ; lUnit to Refl∙ ; rUnit to ∙Refl) public
open import Cubical.Foundations.Path public
open import Cubical.Data.Int using ( ; isSet) public
open import Cubical.Data.Nat public
open import Cubical.HITs.S1 using ( ; base ; loop ) public
open import 0Trinitarianism.Quest5Solutions public
open import 1FundamentalGroup.Quest1Solutions public
open public
endPtRefl : {A : Type} {x : A} (B : A Type) endPt B (refl {x = x}) λ b b
endPtRefl {x = x} B = funExt (λ b substRefl {B = B} b)