Theorems · Theorem · logic and foundations
Cardinal.mk_toNat_of_infinite
∀ {α : Type u} [h : Infinite α], Cardinal.toNat (Cardinal.mk α) = 0- Defined in
- Mathlib.SetTheory.Cardinal.ToNat
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 92 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Infinite
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Cardinalstatement · cited by 2,598
- Cardinal.mkstatement · cited by 942
- MonoidWithZeroHomstatement · cited by 704
- Infinitestatement and proof · cited by 352
- Cardinal.toNatstatement · cited by 153
Cited by1
Results whose statement or proof uses this declaration.
- Nat.card_eq_zero_of_infiniteproof · cited by 46