Theorems · Theorem · logic and foundations
Nat.cast_card
∀ {α : Type u_1} [Finite α], ↑(Nat.card α) = Cardinal.mk α- Defined in
- Mathlib.SetTheory.Cardinal.Finite
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 92 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Finite
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.
- Finitestatement and proof · cited by 3,029
- Cardinalstatement and proof · cited by 2,598
- Cardinal.mkstatement and proof · cited by 942
- Nat.cardstatement · cited by 844
- Cardinal.lt_aleph0_of_finiteproof · cited by 9
- Cardinal.cast_toNat_of_lt_aleph0proof · cited by 9
Cited by3
Results whose statement or proof uses this declaration.
- ENat.card_eq_coe_natCardproof · cited by 12
- Set.cast_ncardproof · cited by 4
- Set.card_union_leproof · cited by 1