Theorems · Theorem · logic and foundations
Cardinal.mk_coe_finset
∀ {α : Type u} {s : Finset α}, Cardinal.mk ↥s = ↑s.card- Defined in
- Mathlib.SetTheory.Cardinal.Order
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 63 from the axioms · uses propext, Classical.choice, Quot.sound
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.
- Finsetstatement and proof · cited by 13,712
- Cardinalstatement · cited by 2,598
- Finset.cardstatement and proof · cited by 2,327
- Cardinal.mkstatement · cited by 942
- Cardinal.mk_fintypeproof · cited by 81
- Fintype.card_coeproof · cited by 72
Cited by5
Results whose statement or proof uses this declaration.
- Cardinal.mk_set_eq_nat_iff_finsetproof · cited by 2
- Cardinal.mk_compl_eq_mk_compl_finite_liftproof · cited by 2
- FixedPoints.rank_le_cardproof · cited by 1
- Cardinal.exists_notMem_of_length_ltproof · cited by 1
- Cardinal.card_le_of_finsetproof · cited by 0