Theorems · Theorem · logic and foundations
Cardinal.IsRegular.cof_ord
∀ {c : Cardinal.{u_1}}, c.IsRegular → c.ord.cof = c- Defined in
- Mathlib.SetTheory.Cardinal.Regular
- Cited by
- 23 results in Mathlib
- Foundations
- Depth 88 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Cardinalstatement and proof · cited by 2,598
- LE.le.antisymmproof · cited by 507
- Cardinal.IsRegularstatement and proof · cited by 282
- Cardinal.ordstatement · cited by 266
- Ordinal.cofstatement · cited by 125
- Ordinal.cof_ord_leproof · cited by 5
- Cardinal.IsRegular.le_cof_ordproof · cited by 4
Cited by23
Results whose statement or proof uses this declaration.
- Cardinal.IsInaccessible.preBeth_ordproof · cited by 3
- Cardinal.exists_infinite_fiberproof · cited by 2
- Cardinal.sum_lt_lift_of_isRegularproof · cited by 2
- Cardinal.infinite_pigeonhole_card_ltproof · cited by 2
- Cardinal.derivFamily_lt_ord_liftproof · cited by 2
- Cardinal.IsRegular.cof_omega_eqproof · cited by 2
- Cardinal.card_iUnion_lt_iff_forall_of_isRegularproof · cited by 1
- Cardinal.nfpFamily_lt_ord_lift_of_isRegularproof · cited by 1
- Cardinal.exists_uncountable_fiberproof · cited by 0
- Cardinal.iSup_lt_lift_of_isRegularproof · cited by 0
- Cardinal.iSup_lt_of_isRegularproof · cited by 0