Theorems · Theorem · logic and foundations
Cardinal.mk_list_eq_mk
∀ (α : Type u) [Infinite α], Cardinal.mk (List α) = Cardinal.mk α
- Defined in
- Mathlib.SetTheory.Cardinal.Arithmetic
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 103 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Infinite
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites17
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Cardinalstatement · cited by 2,598
- le_antisymmproof · cited by 2,068
- Cardinal.mkstatement and proof · cited by 942
- Cardinal.liftproof · cited by 583
- Cardinal.aleph0proof · cited by 521
- Infinitestatement and proof · cited by 352
- Cardinal.natCast_lt_aleph0proof · cited by 47
- Cardinal.lift_aleph0proof · cited by 41
- Cardinal.aleph0_le_mkproof · cited by 32
- Cardinal.lift_uzeroproof · cited by 31
- Cardinal.mk_eq_aleph0proof · cited by 20
- Cardinal.sum_constproof · cited by 13
Cited by3
Results whose statement or proof uses this declaration.
- Cardinal.mk_list_le_maxproof · cited by 4
- Cardinal.mk_finset_of_infiniteproof · cited by 2
- Cardinal.mk_list_eq_maxproof · cited by 2