Theorems · Theorem · logic and foundations
Set.encard_univ
∀ (α : Type u_3), Set.univ.encard = ENat.card α
- Defined in
- Mathlib.Data.Set.Card
- Cited by
- 15 results in Mathlib
- Foundations
- Depth 93 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.
- ENatstatement and proof · cited by 4,985
- Set.univstatement and proof · cited by 3,945
- Set.encardstatement · cited by 327
- ENat.cardstatement and proof · cited by 89
- Equiv.Set.univproof · cited by 21
- ENat.card_congrproof · cited by 8
Cited by15
Results whose statement or proof uses this declaration.
- MeasureTheory.Measure.count_univproof · cited by 4
- SimpleGraph.vertexCoverNum_le_card_sub_oneproof · cited by 3
- ENNReal.tsum_constproof · cited by 2
- Set.powersetCard.exists_mem_notMemproof · cited by 2
- Set.encard_le_cardproof · cited by 1
- ENNReal.tsum_oneproof · cited by 1
- SimpleGraph.encard_edgeSet_completeBipartiteGraphproof · cited by 1
- Equiv.Perm.has_swap_mem_of_lt_stabilizerproof · cited by 1
- Set.encard_ne_add_oneproof · cited by 1
- SimpleGraph.exists_of_le_vertexCoverNumproof · cited by 1
- Submodule.iUnion_ssubset_of_forall_ne_top_of_card_ltproof · cited by 1
- SimpleGraph.vertexCoverNum_topproof · cited by 0