Theorems · Theorem · logic and foundations
Fin.Embedding.exists_embedding_disjoint_range_of_add_le_ENat_card
∀ {α : Type u_1} {n : ℕ} {s : Set α} [Finite ↑s], ↑s.ncard + ↑n ≤ ENat.card α → ∃ y, Disjoint s (Set.range ⇑y)- Defined in
- Mathlib.SetTheory.Cardinal.Embedding
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 101 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Finite
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites32
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Setstatement and proof · cited by 53,352
- Fintypeproof · cited by 7,736
- Set.Elemstatement and proof · cited by 7,166
- ENatstatement and proof · cited by 4,985
- Set.rangestatement and proof · cited by 4,705
- Finitestatement and proof · cited by 3,029
- Compl.complproof · cited by 2,925
- Disjointstatement · cited by 2,201
- Fintype.cardproof · cited by 1,386
- Function.Embeddingstatement and proof · cited by 988
- Infiniteproof · cited by 352
Cited by2
Results whose statement or proof uses this declaration.
- Fin.Embedding.restrictSurjective_of_add_le_ENatCardproof · cited by 4
- Fin.Embedding.exists_embedding_disjoint_range_of_add_le_Nat_cardproof · cited by 0