Remove commented code

This commit is contained in:
Frederik Hanghøj Iversen 2018-02-23 12:05:38 +01:00
parent de1d19c442
commit 3f3247c870
2 changed files with 0 additions and 33 deletions

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@ -9,14 +9,6 @@ open import Cat.Category
open IsCategory open IsCategory
-- data Path { : Level} {A : Set } : (a b : A) → Set where
-- emptyPath : {a : A} → Path a a
-- concatenate : {a b c : A} → Path a b → Path b c → Path a b
-- import Data.List
-- P : (a b : Object ) → Set (')
-- P = {!Data.List.List ?!}
-- Generalized paths:
data Path { ' : Level} {A : Set } (R : A A Set ') : (a b : A) Set ( ') where data Path { ' : Level} {A : Set } (R : A A Set ') : (a b : A) Set ( ') where
empty : {a : A} Path R a a empty : {a : A} Path R a a
cons : {a b c : A} R b c Path R a b Path R a c cons : {a b c : A} R b c Path R a b Path R a c

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@ -20,28 +20,3 @@ module Equality where
Σ≡ : a b Σ≡ : a b
proj₁ (Σ≡ i) = proj₁≡ i proj₁ (Σ≡ i) = proj₁≡ i
proj₂ (Σ≡ i) = proj₂≡ i proj₂ (Σ≡ i) = proj₂≡ i
-- Remark 2.7.1: This theorem:
--
-- (x , u) ≡ (x , v) → u ≡ v
--
-- does *not* hold! We can only conclude that there *exists* `p : x ≡ x`
-- such that
--
-- p* u ≡ v
-- thm : isSet A → (∀ {a} → isSet (B a)) → isSet (Σ A B)
-- thm sA sB (x , y) (x' , y') p q = res
-- where
-- x≡x'0 : x ≡ x'
-- x≡x'0 = λ i → proj₁ (p i)
-- x≡x'1 : x ≡ x'
-- x≡x'1 = λ i → proj₁ (q i)
-- someP : x ≡ x'
-- someP = {!!}
-- tricky : {!y!} ≡ y'
-- tricky = {!!}
-- -- res' : (λ _ → Σ A B) [ (x , y) ≡ (x' , y') ]
-- res' : ({!!} , {!!}) ≡ ({!!} , {!!})
-- res' = {!!}
-- res : p ≡ q
-- res i = {!res'!}