Theorems · Theorem · logic and foundations
Fin.Embedding.restrictSurjective_of_add_le_ENatCard
∀ {α : Type u_1} {m n : ℕ}, ↑m + ↑n ≤ ENat.card α → Function.Surjective fun x => (Fin.castAddEmb n).trans x- Defined in
- Mathlib.SetTheory.Cardinal.Embedding
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 102 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites18
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- ENatstatement · cited by 4,985
- Set.rangeproof · cited by 4,705
- Disjointproof · cited by 2,201
- Function.Embeddingstatement and proof · cited by 988
- Fintype.card_finproof · cited by 270
- Nat.card_eq_fintype_cardproof · cited by 200
- Function.Embedding.injectiveproof · cited by 111
- ENat.cardstatement and proof · cited by 89
- Function.Embedding.transstatement · cited by 83
- Fin.appendproof · cited by 50
- Fin.castAddEmbstatement and proof · cited by 27
Cited by4
Results whose statement or proof uses this declaration.
- MulAction.isMultiplyPretransitive_of_le'proof · cited by 3
- Fin.Embedding.restrictSurjective_of_add_le_natCardproof · cited by 3
- AddAction.isMultiplyPretransitive_of_le'proof · cited by 1
- Fin.Embedding.restrictSurjective_of_le_ENatCardproof · cited by 0