Theorems · Theorem · logic and foundations
Cardinal.mk_univ
∀ {α : Type u}, Cardinal.mk ↑Set.univ = Cardinal.mk α- Defined in
- Mathlib.SetTheory.Cardinal.Basic
- Cited by
- 12 results in Mathlib
- Foundations
- Depth 21 from the axioms · uses 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.
- Set.Elemstatement · cited by 7,166
- Set.univstatement · cited by 3,945
- Cardinalstatement · cited by 2,598
- Cardinal.mkstatement · cited by 942
- Cardinal.mk_congrproof · cited by 55
- Equiv.Set.univproof · cited by 21
Cited by12
Results whose statement or proof uses this declaration.
- Order.cof_le_cardinalMkproof · cited by 5
- Cardinal.mk_univ_quaternionAlgebraproof · cited by 2
- Cardinal.lt_power_cof_ordproof · cited by 2
- Cardinal.infinite_pigeonholeproof · cited by 1
- Cardinal.mk_univ_complexproof · cited by 1
- Cardinal.exists_notMem_of_length_ltproof · cited by 1
- Cardinal.mk_univ_realproof · cited by 1
- Cardinal.mk_le_of_countable_eventually_memproof · cited by 1
- Cardinal.mk_eq_nat_iff_finsetproof · cited by 1
- Ordinal.ord_mk_lt_typeproof · cited by 1
- Cardinal.compl_nonempty_of_mk_lt_mkproof · cited by 1
- FirstOrder.Language.Theory.exists_large_model_of_infinite_modelproof · cited by 1