Theorems · Theorem · logic and foundations
Cardinal.mk_list_le_max
∀ (α : Type u), Cardinal.mk (List α) ≤ max Cardinal.aleph0 (Cardinal.mk α)
- Defined in
- Mathlib.SetTheory.Cardinal.Arithmetic
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 104 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- LE.le.transproof · cited by 3,151
- Finiteproof · cited by 3,029
- Cardinalstatement and proof · cited by 2,598
- Cardinal.mkstatement and proof · cited by 942
- Cardinal.aleph0statement and proof · cited by 521
- Infiniteproof · cited by 352
- le_max_leftproof · cited by 215
- le_max_rightproof · cited by 205
- finite_or_infiniteproof · cited by 50
- Cardinal.mk_le_aleph0proof · cited by 9
- Cardinal.mk_list_eq_mkproof · cited by 3
Cited by4
Results whose statement or proof uses this declaration.
- Ordinal.nfpFamily_lt_ord_liftproof · cited by 4
- FirstOrder.Language.Term.card_leproof · cited by 2
- Cardinal.sum_pow_le_max_aleph0proof · cited by 1
- Algebra.rank_adjoin_leproof · cited by 0