Theorems · Definition · logic and foundations
embeddingToCardinal
{α : Type u} → α ↪ Cardinal.{u}An embedding of any type to the set of cardinals in its universe.
- Defined in
- Mathlib.SetTheory.Cardinal.Order
- Cited by
- 2 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.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Cardinalstatement · cited by 2,598
- Function.Embeddingstatement · cited by 988
- nonempty_embedding_to_cardinalproof · cited by 0
Cited by4
Results whose statement or proof uses this declaration.
- WellOrderingRelproof · cited by 30
- IsWellFounded.wellOrderExtensionproof · cited by 0
- toWellOrderExtension_strictMonoproof · cited by 0
- IsWellFounded.exists_well_order_geproof · cited by 0