Mercurial > hg > Members > kono > Proof > galois
changeset 63:d730fb6eea89
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author | Shinji KONO <kono@ie.u-ryukyu.ac.jp> |
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date | Mon, 24 Aug 2020 12:47:31 +0900 |
parents | a66f773330b4 |
children | 537903b159ef |
files | Putil.agda |
diffstat | 1 files changed, 10 insertions(+), 8 deletions(-) [+] |
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--- a/Putil.agda Mon Aug 24 12:41:57 2020 +0900 +++ b/Putil.agda Mon Aug 24 12:47:31 2020 +0900 @@ -251,8 +251,8 @@ -- ∷ plist ( (flip (FL→perm ((# 3) :: ((# 1) :: ( (# 0) :: (( # 0 ) :: f0 )) ))) ∘ₚ (FL→perm ((# 3) :: (((# 1) :: ( (# 0) :: (( # 0 ) :: f0 )) )))) )) ∷ [] -p=0 : {n : ℕ } → (perm : Permutation (suc n) (suc n) ) → ((perm ∘ₚ flip (pins (toℕ≤pred[n] (perm ⟨$⟩ʳ (# 0))))) ⟨$⟩ˡ (# 0)) ≡ # 0 -p=0 perm = {!!} +postulate + p=0 : {n : ℕ } → (perm : Permutation (suc n) (suc n) ) → ((perm ∘ₚ flip (pins (toℕ≤pred[n] (perm ⟨$⟩ʳ (# 0))))) ⟨$⟩ˡ (# 0)) ≡ # 0 perm→FL : {n : ℕ } → Permutation n n → FL n perm→FL {zero} perm = f0 @@ -269,15 +269,17 @@ t6 = perm→FL t4 -FL→iso : {n : ℕ } → (fl : FL n ) → perm→FL ( FL→perm fl ) ≡ fl -FL→iso f0 = refl -FL→iso (x :: fl) = {!!} -- with FL→iso fl +postulate + FL→iso : {n : ℕ } → (fl : FL n ) → perm→FL ( FL→perm fl ) ≡ fl +-- FL→iso f0 = refl +-- FL→iso (x :: fl) = {!!} -- with FL→iso fl -- ... | t = {!!} open _=p=_ -FL←iso : {n : ℕ } → (perm : Permutation n n ) → FL→perm ( perm→FL perm ) =p= perm -FL←iso {0} perm = record { peq = λ () } -FL←iso {suc n} perm = {!!} +postulate + FL←iso : {n : ℕ } → (perm : Permutation n n ) → FL→perm ( perm→FL perm ) =p= perm +-- FL←iso {0} perm = record { peq = λ () } +-- FL←iso {suc n} perm = {!!} all-perm : (n : ℕ ) → List (Permutation (suc n) (suc n) ) all-perm n = pls6 n where