diff options
Diffstat (limited to 'Precond.agda')
| -rw-r--r-- | Precond.agda | 10 |
1 files changed, 5 insertions, 5 deletions
diff --git a/Precond.agda b/Precond.agda index 312fbde..354e5f1 100644 --- a/Precond.agda +++ b/Precond.agda @@ -43,11 +43,11 @@ lemma-union-delete-fromFunc : {m n : ℕ} {A : Set} {is : Vec (Fin n) m} {h : Fi lemma-union-delete-fromFunc {is = []} {h = h} {g = g} p = _ , (begin union h (fromFunc g) ≡⟨ lemma-tabulate-∘ (λ f → begin - maybe′ just (lookup f (fromFunc g)) (lookup f h) - ≡⟨ cong (flip (maybe′ just) (lookup f h)) (lemma-lookupM-fromFunc g f) ⟩ - maybe′ just (just (g f)) (lookup f h) - ≡⟨ lemma-maybe-just (g f) (lookup f h) ⟩ - just (maybe′ id (g f) (lookup f h)) ∎) ⟩ + maybe′ just (lookupM f (fromFunc g)) (lookupM f h) + ≡⟨ cong (flip (maybe′ just) (lookupM f h)) (lemma-lookupM-fromFunc g f) ⟩ + maybe′ just (just (g f)) (lookupM f h) + ≡⟨ lemma-maybe-just (g f) (lookupM f h) ⟩ + just (maybe′ id (g f) (lookupM f h)) ∎) ⟩ tabulate (λ f → just (maybe′ id (g f) (lookup f h))) ≡⟨ tabulate-∘ just (λ f → maybe′ id (g f) (lookup f h)) ⟩ map just (tabulate (λ f → maybe′ id (g f) (lookup f h))) ∎) |