Mathlib Map

Theorems · Theorem · logic and foundations

Cardinal.ord_univ

Cardinal.univ.{u, v}.ord = Ordinal.univ.{u, v}
Defined in
Mathlib.SetTheory.Ordinal.Univ
Cited by
8 results in Mathlib
Foundations
Depth 83 from the axioms · uses propext, Classical.choice, Quot.sound
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Cardinal.IsInaccessible.univ · cited by 6IsInaccessible.univCardinal.lt_univ · cited by 1Cardinal.lt_univCardinal.preAleph_univ · cited by 1Cardinal.preAleph_univOrdinal.preOmega_univ · cited by 0Ordinal.preOmega_univCardinal.beth_univ · cited by 0Cardinal.beth_univCardinal.preBeth_univ · cited by 0Cardinal.preBeth_univCardinal.aleph_univ · cited by 0Cardinal.aleph_univOrdinal.omega_univ · cited by 0Ordinal.omega_univDFunLike.coe · cited by 62936DFunLike.coeSet.range · cited by 4705Set.rangeCardinal · cited by 2598Cardinalle_antisymm · cited by 2068le_antisymmOrdinal · cited by 1688OrdinalCardinal.ord · cited by 266Cardinal.ordPrincipalSeg.toRelEmbedding · cited by 129PrincipalSeg.toRelEmbeddi…Ordinal.card · cited by 122Ordinal.cardCardinal.univ · cited by 28Cardinal.univle_of_forall_lt · cited by 25le_of_forall_ltOrdinal.univ · cited by 18Ordinal.univCardinal.lt_ord · cited by 13Cardinal.lt_ordOrdinal.lift_card · cited by 7Ordinal.lift_cardCardinal.ord_card_le · cited by 6Cardinal.ord_card_leCardinal.lift_lt_univ' · cited by 6Cardinal.lift_lt_univ'Cardinal.ord_univCITED BYCITES

Cites18

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by8

Results whose statement or proof uses this declaration.