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-rw-r--r--Data/Fin/Preimage.agda6
1 files changed, 6 insertions, 0 deletions
diff --git a/Data/Fin/Preimage.agda b/Data/Fin/Preimage.agda
index f6e4373..4f7ea43 100644
--- a/Data/Fin/Preimage.agda
+++ b/Data/Fin/Preimage.agda
@@ -40,3 +40,9 @@ preimage-∘
(z : Fin C)
→ preimage (g ∘ f) ⁅ z ⁆ ≗ preimage f (preimage g ⁅ z ⁆)
preimage-∘ f g S x = ≡.refl
+
+preimage-⊥
+ : {n m : ℕ}
+ (f : Fin n → Fin m)
+ → preimage f ⊥ ≗ ⊥
+preimage-⊥ f x = ≡.refl