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Theorems · Definition · logic and foundations

Cardinal.univ

Cardinal.{max (u + 1) v}

The cardinal univ.{u, v} is the cardinality of Ordinal.{u} or Cardinal.{u}, as an element of Cardinal.{v} (when u < v).

Defined in
Mathlib.SetTheory.Ordinal.Univ
Cited by
28 results in Mathlib
Foundations
Depth 27 from the axioms · uses propext, Quot.sound
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Around this declaration

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

Cardinal.ord_univ · cited by 8Cardinal.ord_univCardinal.IsInaccessible.univ · cited by 6IsInaccessible.univCardinal.lift_lt_univ' · cited by 6Cardinal.lift_lt_univ'Cardinal.lift_univ · cited by 5Cardinal.lift_univCardinal.mk_ordinal · cited by 4Cardinal.mk_ordinalCardinal.aleph0_lt_univ · cited by 3Cardinal.aleph0_lt_univCardinal.lt_univ' · cited by 3Cardinal.lt_univ'Cardinal.univ_umax · cited by 3Cardinal.univ_umaxCardinal.lift_lt_univ · cited by 2Cardinal.lift_lt_univOrdinal.cof_univ · cited by 1Ordinal.cof_univCardinal.preAleph_univ · cited by 1Cardinal.preAleph_univCardinal.lt_univ · cited by 1Cardinal.lt_univCardinal.univ_ne_zero · cited by 1Cardinal.univ_ne_zeroCardinal.univ_pos · cited by 1Cardinal.univ_posCardinal.small_iff_lift_mk_lt_univ · cited by 1Cardinal.small_iff_lift_m…Cardinal · cited by 2598CardinalOrdinal · cited by 1688OrdinalCardinal.mk · cited by 942Cardinal.mkCardinal.lift · cited by 583Cardinal.liftCardinal.univCITED BYCITES

Cites4

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

Cited by28

Results whose statement or proof uses this declaration.