Theorems · Definition · combinatorics
Function.Embedding.embFinTwo
{α : Type u_1} → {a b : α} → a ≠ b → Fin 2 ↪ αTwo distinct elements of α give an embedding Fin 2 ↪ α.
- Defined in
- Mathlib.Data.Fin.Tuple.Embedding
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 54 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.
- Function.Embeddingstatement · cited by 988
- Equiv.invFunproof · cited by 163
- Function.Embedding.twoEmbeddingEquivproof · cited by 0
Cited by4
Results whose statement or proof uses this declaration.
- AddAction.is_two_pretransitive_iffproof · cited by 2
- Function.Embedding.embFinTwo_apply_onestatement · cited by 2
- Function.Embedding.embFinTwo_apply_zerostatement · cited by 2
- MulAction.is_two_pretransitive_iffproof · cited by 2