summaryrefslogtreecommitdiff
path: root/FinMap.agda
diff options
context:
space:
mode:
Diffstat (limited to 'FinMap.agda')
-rw-r--r--FinMap.agda6
1 files changed, 3 insertions, 3 deletions
diff --git a/FinMap.agda b/FinMap.agda
index 376adff..03a304b 100644
--- a/FinMap.agda
+++ b/FinMap.agda
@@ -122,11 +122,11 @@ lemma-union-restrict f is = begin
lookup j (fromFunc f)
≡⟨ lookup∘tabulate f j ⟩
f j ∎
- lemma-inner f (i ∷ is) j with i ≟ j
+ lemma-inner f (i ∷ is) j with j ≟ i
lemma-inner f (.j ∷ is) j | yes refl = cong (maybe′ id (lookup j (fromFunc f))) (lemma-lookupM-insert j (f j) (restrict f is))
- lemma-inner f (i ∷ is) j | no i≢j = begin
+ lemma-inner f (i ∷ is) j | no j≢i = begin
maybe′ id (lookup j (fromFunc f)) (lookupM j (insert i (f i) (restrict f is)))
- ≡⟨ cong (maybe′ id (lookup j (fromFunc f))) (sym (lemma-lookupM-insert-other j i (f i) (restrict f is) (i≢j ∘ sym) )) ⟩
+ ≡⟨ cong (maybe′ id (lookup j (fromFunc f))) (sym (lemma-lookupM-insert-other j i (f i) (restrict f is) j≢i)) ⟩
maybe′ id (lookup j (fromFunc f)) (lookupM j (restrict f is))
≡⟨ lemma-inner f is j ⟩
f j ∎