Theorems · Theorem · group theory
Equiv.Perm.viaEmbeddingHom_injective
∀ {α : Type u_1} {β : Type u_2} (ι : α ↪ β), Function.Injective ⇑(Equiv.Perm.viaEmbeddingHom ι)- Defined in
- Mathlib.GroupTheory.Perm.ViaEmbedding
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 30 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.
- DFunLike.coestatement · cited by 62,936
- MonoidHomstatement · cited by 3,629
- Equiv.Permstatement · cited by 1,375
- Function.Embeddingstatement and proof · cited by 988
- Equiv.ofInjectiveproof · cited by 64
- Function.Embedding.inj'proof · cited by 29
- Function.Embedding.toFunproof · cited by 25
- Equiv.Perm.viaEmbeddingHomstatement · cited by 2
- Equiv.Perm.extendDomainHom_injectiveproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- Equiv.Perm.not_isSolvableproof · cited by 1