Theorems · Theorem · logic and foundations
Cardinal.card_lt_card_of_right_finite
∀ {α : Type u} {A B : Set α}, B.Finite → A ⊂ B → Cardinal.mk ↑A < Cardinal.mk ↑B- Defined in
- Mathlib.SetTheory.Cardinal.Basic
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 73 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites13
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
- Fintypeproof · cited by 7,736
- Set.Elemstatement and proof · cited by 7,166
- Cardinalstatement · cited by 2,598
- Set.Finitestatement and proof · cited by 1,814
- Cardinal.mkstatement · cited by 942
- Set.Finite.subsetproof · cited by 285
- Cardinal.mk_fintypeproof · cited by 81
- Set.toFinset_cardproof · cited by 63
- Set.Finite.fintypeproof · cited by 38
- Finset.card_lt_cardproof · cited by 23
- LT.lt.subsetproof · cited by 20
Cited by3
Results whose statement or proof uses this declaration.
- Cardinal.card_lt_card_of_left_finiteproof · cited by 1
- Cardinal.mk_strictMonoproof · cited by 0
- Cardinal.mk_strictMonoOnproof · cited by 0