Theorems · Theorem · logic and foundations
Cardinal.mk_toType
∀ (o : Ordinal.{u_1}), Cardinal.mk o.ToType = o.card- Defined in
- Mathlib.SetTheory.Ordinal.Basic
- Cited by
- 12 results in Mathlib
- Foundations
- Depth 31 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 · cited by 2,598
- Ordinalstatement and proof · cited by 1,688
- Cardinal.mkstatement · cited by 942
- Ordinal.ToTypestatement and proof · cited by 143
- Ordinal.cardstatement and proof · cited by 122
- Ordinal.type_toTypeproof · cited by 28
- Ordinal.card_typeproof · cited by 7
Cited by12
Results whose statement or proof uses this declaration.
- Ordinal.cof_le_cardproof · cited by 3
- Ordinal.cof_lsub_def_nonemptyproof · cited by 3
- Ordinal.cof_blsub_le_liftproof · cited by 3
- Cardinal.mk_biUnion_le_of_le_liftproof · cited by 3
- Cardinal.mk_Iio_toType_ord_ltproof · cited by 2
- Cardinal.mk_ord_toTypeproof · cited by 2
- CategoryTheory.SmallCategoryCardinalLT.exists_equivalenceproof · cited by 1
- Cardinal.SharplyLT.exists_isCardinalFiltered_set_of_exists_cofinalproof · cited by 0
- CategoryTheory.ObjectProperty.IsCardinalFilteredGenerator.presentableproof · cited by 0
- Ordinal.le_cof_iff_blsubproof · cited by 0
- Ordinal.card_iSup_Iio_le_card_mul_iSupproof · cited by 0