Theorems · Theorem · logic and foundations
nonempty_embedding_to_cardinal
∀ {α : Type u}, Nonempty (α ↪ Cardinal.{u})- Defined in
- Mathlib.SetTheory.Cardinal.Order
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 72 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Cardinalstatement and proof · cited by 2,598
- Function.Embeddingstatement and proof · cited by 988
- not_le_of_gtproof · cited by 97
- Function.invFunproof · cited by 60
- Cardinal.sumproof · cited by 58
- Cardinal.cantorproof · cited by 12
- Function.invFun_surjectiveproof · cited by 8
- Cardinal.le_sumproof · cited by 3
- Function.Embedding.totalproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- embeddingToCardinalproof · cited by 2