From 12c7044889888f3720c3883f47df973f58e59946 Mon Sep 17 00:00:00 2001 From: Jlh18 Date: Sat, 2 Oct 2021 12:26:49 +0100 Subject: [PATCH] added Iso symbol and edits on trinitarianis/quest3 --- 0Trinitarianism/Quest3.agda | 6 ++++-- 0Trinitarianism/Quest3Solutions.agda | 4 ++-- 1FundamentalGroup/Preambles/P2.agda | 2 +- 1FundamentalGroup/Quest2Solutions.agda | 2 +- .../agda/0Trinitarianism/Preambles/P3.agdai | Bin 0 -> 25332 bytes .../0Trinitarianism/Quest3Solutions.agdai | Bin 0 -> 40200 bytes .../agda/1FundamentalGroup/Preambles/P2.agdai | Bin 51118 -> 51270 bytes .../1FundamentalGroup/Quest2Solutions.agdai | Bin 50252 -> 50301 bytes 8 files changed, 8 insertions(+), 6 deletions(-) create mode 100644 _build/2.6.2/agda/0Trinitarianism/Preambles/P3.agdai create mode 100644 _build/2.6.2/agda/0Trinitarianism/Quest3Solutions.agdai diff --git a/0Trinitarianism/Quest3.agda b/0Trinitarianism/Quest3.agda index 151d6be..0df6b51 100644 --- a/0Trinitarianism/Quest3.agda +++ b/0Trinitarianism/Quest3.agda @@ -5,5 +5,7 @@ open import 0Trinitarianism.Preambles.P3 _+_ : ℕ → ℕ → ℕ n + m = {!!} -SumOfEven : (x : Σ ℕ isEven) → (y : Σ ℕ isEven) → isEven (x .fst + y .fst) -SumOfEven x y = {!!} +{- +Write here you proof that the sum of +even naturals is even. +-} diff --git a/0Trinitarianism/Quest3Solutions.agda b/0Trinitarianism/Quest3Solutions.agda index 8798ce0..c99b543 100644 --- a/0Trinitarianism/Quest3Solutions.agda +++ b/0Trinitarianism/Quest3Solutions.agda @@ -10,13 +10,13 @@ _+'_ : ℕ → ℕ → ℕ zero +' n = n suc m +' n = suc (m +' n) -SumOfEven : (x : Σ ℕ isEven) → (y : Σ ℕ isEven) → isEven (x .fst + y .fst) +SumOfEven : (x y : Σ ℕ isEven) → isEven (x .fst + y .fst) SumOfEven x (zero , hy) = x .snd SumOfEven x (suc (suc y) , hy) = SumOfEven x (y , hy) {- -Sum'OfEven : (x : Σ ℕ isEven) → (y : Σ ℕ isEven) → isEven (x .fst +' y .fst) +Sum'OfEven : (x y : Σ ℕ isEven) → isEven (x .fst +' y .fst) Sum'OfEven x (zero , hy) = x .snd Sum'OfEven x (suc (suc y) , hy) = Sum'OfEven x (y , hy) diff --git a/1FundamentalGroup/Preambles/P2.agda b/1FundamentalGroup/Preambles/P2.agda index d26c358..6f027da 100644 --- a/1FundamentalGroup/Preambles/P2.agda +++ b/1FundamentalGroup/Preambles/P2.agda @@ -2,7 +2,7 @@ module 1FundamentalGroup.Preambles.P2 where open import Cubical.Data.Nat public open import Cubical.Data.Int using (ℤ ; pos ; negsuc ; -_) public -open import Cubical.Foundations.Isomorphism public +open import Cubical.Foundations.Isomorphism renaming (Iso to _≅_) public open import Cubical.Foundations.Prelude renaming (subst to endPt) public open import Cubical.HITs.S1 using (S¹ ; base ; loop) public open import 1FundamentalGroup.Quest1Solutions public diff --git a/1FundamentalGroup/Quest2Solutions.agda b/1FundamentalGroup/Quest2Solutions.agda index 0ae8831..1a828fb 100644 --- a/1FundamentalGroup/Quest2Solutions.agda +++ b/1FundamentalGroup/Quest2Solutions.agda @@ -12,7 +12,7 @@ predℤ (pos zero) = negsuc zero predℤ (pos (suc n)) = pos n predℤ (negsuc 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