From 72be8e3e4272a1d28efd70b0b1b243aabdd91bf1 Mon Sep 17 00:00:00 2001 From: Jlh18 Date: Mon, 27 Sep 2021 16:00:26 +0100 Subject: [PATCH] Added side quests and preambles for side quests --- 1FundamentalGroup/Preambles/PEmpty.agda | 6 ++++++ .../Preambles/PTrueNotFalse.agda | 6 ++++++ 1FundamentalGroup/Quest0.agda | 3 ++- 1FundamentalGroup/Quest0SideQuests/Empty.agda | 9 +++------ .../Quest0SideQuests/EmptySolutions.agda | 7 ++----- .../Quest0SideQuests/TrueNotFalse.agda | 5 +---- .../TrueNotFalseSolutions.agda | 5 +---- 1FundamentalGroup/Quest1.agda | 3 ++- .../agda/1FundamentalGroup/Preambles/P1.agdai | Bin 61755 -> 61790 bytes .../1FundamentalGroup/Preambles/PEmpty.agdai | Bin 0 -> 24424 bytes .../Preambles/PTrueNotFalse.agdai | Bin 0 -> 32695 bytes .../Quest0SideQuests/EmptySolutions.agdai | Bin 32963 -> 31587 bytes .../TrueNotFalseSolutions.agdai | Bin 35535 -> 28735 bytes .../2.6.2/agda/1FundamentalGroup/Quest1.agdai | Bin 49295 -> 49384 bytes 14 files changed, 23 insertions(+), 21 deletions(-) create mode 100644 1FundamentalGroup/Preambles/PEmpty.agda create mode 100644 1FundamentalGroup/Preambles/PTrueNotFalse.agda create mode 100644 _build/2.6.2/agda/1FundamentalGroup/Preambles/PEmpty.agdai create mode 100644 _build/2.6.2/agda/1FundamentalGroup/Preambles/PTrueNotFalse.agdai diff --git a/1FundamentalGroup/Preambles/PEmpty.agda b/1FundamentalGroup/Preambles/PEmpty.agda new file mode 100644 index 0000000..1323bf0 --- /dev/null +++ b/1FundamentalGroup/Preambles/PEmpty.agda @@ -0,0 +1,6 @@ +module 1FundamentalGroup.Preambles.PEmpty where + +open import Cubical.Foundations.Prelude public +open import Cubical.Data.Empty renaming (rec to ⊥Rec) public +open import Cubical.Foundations.Isomorphism renaming (Iso to _≅_) public + diff --git a/1FundamentalGroup/Preambles/PTrueNotFalse.agda b/1FundamentalGroup/Preambles/PTrueNotFalse.agda new file mode 100644 index 0000000..c2e38b9 --- /dev/null +++ b/1FundamentalGroup/Preambles/PTrueNotFalse.agda @@ -0,0 +1,6 @@ +module 1FundamentalGroup.Preambles.PTrueNotFalse where + +open import Cubical.Data.Empty public +open import Cubical.Data.Unit renaming ( Unit to ⊤ ) public +open import Cubical.Data.Bool using (Bool ; true ; false) public +open import Cubical.Foundations.Prelude public diff --git a/1FundamentalGroup/Quest0.agda b/1FundamentalGroup/Quest0.agda index dbdf318..b804318 100644 --- a/1FundamentalGroup/Quest0.agda +++ b/1FundamentalGroup/Quest0.agda @@ -1,5 +1,6 @@ +-- ignore this module 1FundamentalGroup.Quest0 where - +-- ignore this open import 1FundamentalGroup.Preambles.P0 Refl : base ≡ base diff --git a/1FundamentalGroup/Quest0SideQuests/Empty.agda b/1FundamentalGroup/Quest0SideQuests/Empty.agda index 0d70498..2bcb98c 100644 --- a/1FundamentalGroup/Quest0SideQuests/Empty.agda +++ b/1FundamentalGroup/Quest0SideQuests/Empty.agda @@ -1,13 +1,10 @@ module 1FundamentalGroup.Quest0SideQuests.Empty where -open import Cubical.Foundations.Prelude -open import Cubical.Data.Empty renaming (rec to ⊥Rec) -open import Cubical.Foundations.Isomorphism renaming (Iso to _≅_) +open import 1FundamentalGroup.Preambles.PEmpty toEmpty : (A : Type) → Type toEmpty A = {!!} --- why Type₁ pathEmpty : (A : Type) → Type₁ pathEmpty A = {!!} @@ -15,10 +12,10 @@ isoEmpty : (A : Type) → Type isoEmpty A = {!!} toEmpty→isoEmpty : (A : Type) → toEmpty A → isoEmpty A -toEmpty→isoEmpty A f = {!!} +toEmpty→isoEmpty A = {!!} isoEmpty→pathEmpty : (A : Type) → isoEmpty A → pathEmpty A isoEmpty→pathEmpty A = {!!} pathEmpty→toEmpty : (A : Type) → pathEmpty A → toEmpty A -pathEmpty→toEmpty A p = {!!} +pathEmpty→toEmpty A = {!!} diff --git a/1FundamentalGroup/Quest0SideQuests/EmptySolutions.agda b/1FundamentalGroup/Quest0SideQuests/EmptySolutions.agda index 0b3df63..901dce0 100644 --- a/1FundamentalGroup/Quest0SideQuests/EmptySolutions.agda +++ b/1FundamentalGroup/Quest0SideQuests/EmptySolutions.agda @@ -1,13 +1,10 @@ module 1FundamentalGroup.Quest0SideQuests.EmptySolutions where -open import Cubical.Foundations.Prelude -open import Cubical.Data.Empty renaming (rec to ⊥Rec) -open import Cubical.Foundations.Isomorphism renaming (Iso to _≅_) +open import 1FundamentalGroup.Preambles.PEmpty toEmpty : (A : Type) → Type toEmpty A = A → ⊥ --- why Type₁ pathEmpty : (A : Type) → Type₁ pathEmpty A = A ≡ ⊥ @@ -27,4 +24,4 @@ isoEmpty→pathEmpty : (A : Type) → isoEmpty A → pathEmpty A isoEmpty→pathEmpty A = isoToPath pathEmpty→toEmpty : (A : Type) → pathEmpty A → toEmpty A -pathEmpty→toEmpty A p = J (λ B q → toEmpty B) (λ x → x) (sym p) +pathEmpty→toEmpty A p x = transport p x diff --git a/1FundamentalGroup/Quest0SideQuests/TrueNotFalse.agda b/1FundamentalGroup/Quest0SideQuests/TrueNotFalse.agda index 7e8ede4..41aa677 100644 --- a/1FundamentalGroup/Quest0SideQuests/TrueNotFalse.agda +++ b/1FundamentalGroup/Quest0SideQuests/TrueNotFalse.agda @@ -1,9 +1,6 @@ module 1FundamentalGroup.Quest0SideQuests.TrueNotFalse where -open import Cubical.Data.Empty -open import Cubical.Data.Unit renaming ( Unit to ⊤ ) -open import Cubical.Data.Bool using (Bool ; true ; false) -open import Cubical.Foundations.Prelude +open import 1FundamentalGroup.Preambles.PTrueNotFalse true≢false : true ≡ false → ⊥ true≢false = {!!} diff --git a/1FundamentalGroup/Quest0SideQuests/TrueNotFalseSolutions.agda b/1FundamentalGroup/Quest0SideQuests/TrueNotFalseSolutions.agda index 16149ff..f6bc6f7 100644 --- a/1FundamentalGroup/Quest0SideQuests/TrueNotFalseSolutions.agda +++ b/1FundamentalGroup/Quest0SideQuests/TrueNotFalseSolutions.agda @@ -1,9 +1,6 @@ module 1FundamentalGroup.Quest0SideQuests.TrueNotFalseSolutions where -open import Cubical.Data.Empty -open import Cubical.Data.Unit renaming ( Unit to ⊤ ) -open import Cubical.Data.Bool using (Bool ; true ; false) -open import Cubical.Foundations.Prelude +open import 1FundamentalGroup.Preambles.PTrueNotFalse true≢false : true ≡ false → ⊥ true≢false h = transport ⊤≡⊥ tt where diff --git a/1FundamentalGroup/Quest1.agda b/1FundamentalGroup/Quest1.agda index 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