From b37fc3089eb0ca8fc37a82ae6d6071b0accbca19 Mon Sep 17 00:00:00 2001 From: Andreas Grois Date: Sat, 21 Dec 2024 21:37:51 +0100 Subject: Continue Day17 --- Common/Countable.lean | 9 +++++++++ 1 file changed, 9 insertions(+) create mode 100644 Common/Countable.lean (limited to 'Common/Countable.lean') diff --git a/Common/Countable.lean b/Common/Countable.lean new file mode 100644 index 0000000..e19db99 --- /dev/null +++ b/Common/Countable.lean @@ -0,0 +1,9 @@ +import Common.Finite + +class Countable (α : Type u) where + enumerate : α → Nat + injective {a b : α} : enumerate a = enumerate b → a = b + +instance {α : Type u} [Finite α] : Countable α where + enumerate := Fin.val ∘ Finite.enumerate + injective := Finite.injective ∘ Fin.val_inj.mp -- cgit v1.2.3