Theorems · Definition · logic and foundations
Equiv.asEmbedding
{β : Sort u_1} → {α : Sort u_2} → {p : β → Prop} → α ≃ Subtype p → α ↪ βGiven an equivalence to a subtype, produce an embedding to the elements of the corresponding set.
- Defined in
- Mathlib.Logic.Embedding.Basic
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 16 from the axioms · uses Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Equivstatement and proof · cited by 8,337
- Function.Embeddingstatement · cited by 988
- Equiv.toEmbeddingproof · cited by 254
- Function.Embedding.subtypeproof · cited by 128
- Function.Embedding.transproof · cited by 83
Cited by5
Results whose statement or proof uses this declaration.
- Set.Finite.fin_embeddingproof · cited by 3
- Equiv.Perm.card_support_extend_domainproof · cited by 1
- Equiv.asEmbedding_applystatement and proof · cited by 1
- Equiv.asEmbedding_rangestatement and proof · cited by 1
- Equiv.Perm.support_extend_domainstatement and proof · cited by 1