Theorems · Theorem · logic and foundations
Set.ncard_univ
∀ (α : Type u_3), Set.univ.ncard = Nat.card α
- Defined in
- Mathlib.Data.Set.Card
- Cited by
- 21 results in Mathlib
- Foundations
- Depth 95 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Set.univstatement · cited by 3,945
- Nat.cardstatement · cited by 844
- Set.ncardstatement · cited by 344
- Nat.card_univproof · cited by 2
Cited by21
Results whose statement or proof uses this declaration.
- Set.ncard_add_ncard_complproof · cited by 16
- MulAction.IsBlock.eq_univ_of_card_ltproof · cited by 3
- Set.ncard_range_of_injectiveproof · cited by 3
- MulAction.IsMultiplyPretransitive.index_of_fixingSubgroup_mulproof · cited by 2
- Set.ncard_eq_of_bijectiveproof · cited by 2
- MonoidHom.surjective_of_card_ker_le_divproof · cited by 2
- MulAction.IsPreprimitive.is_two_motive_of_is_motiveproof · cited by 2
- Set.union_ne_univ_of_ncard_add_ncard_ltproof · cited by 2
- MulAction.index_stabilizer_of_transitiveproof · cited by 2
- Set.ncard_le_cardproof · cited by 2
- AddAction.IsBlock.eq_univ_of_card_ltproof · cited by 1
- Equiv.Perm.isMulCommutative_iff_card_le_twoproof · cited by 1