Mercurial > hg > Members > kono > Proof > galois
changeset 29:a65f3b17eade
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author | Shinji KONO <kono@ie.u-ryukyu.ac.jp> |
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date | Wed, 19 Aug 2020 11:54:19 +0900 |
parents | ce6a1a08653a |
children | a9fa68dfbd26 |
files | Symmetric.agda |
diffstat | 1 files changed, 4 insertions(+), 1 deletions(-) [+] |
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--- a/Symmetric.agda Wed Aug 19 11:28:10 2020 +0900 +++ b/Symmetric.agda Wed Aug 19 11:54:19 2020 +0900 @@ -4,6 +4,7 @@ open import Algebra open import Algebra.Structures open import Data.Fin hiding ( _<_ ) +open import Data.Fin.Properties hiding ( <-cmp ; <-trans ) open import Data.Product open import Data.Fin.Permutation open import Function hiding (id ; flip) @@ -131,7 +132,9 @@ x ∎ where open ≡-Reasoning - lem5 : {x : Fin (suc (suc n)) } → x ≡ fromℕ≤ (s≤s (s≤s m<n)) → p→ x ≡ fromℕ≤ a<sa + lem6 : {x : Fin (suc (suc n)) } → x ≡ fromℕ≤ (s≤s (s≤s m<n)) → toℕ x ≡ (suc m) + lem6 refl = toℕ-fromℕ≤ _ + lem5 : {x : Fin (suc (suc n)) } → x ≡ fromℕ≤ (s≤s (s≤s m<n)) → p→ x ≡ fromℕ≤ a<sa lem5 refl with <-cmp (toℕ x) m lem5 refl | tri< a ¬b ¬c = {!!} lem5 refl | tri≈ ¬a refl ¬c = {!!}