Theorems · Definition · group theory
MonoidHom.toHomPerm
{α : Type u_4} → {G : Type u_7} → [inst : Group G] → (G →* Function.End α) → G →* Equiv.Perm αLift a monoid homomorphism f : G →* Function.End α to a monoid homomorphism
f : G →* Equiv.Perm α.
- Defined in
- Mathlib.Algebra.Group.End
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 21 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Group
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.
- Groupstatement and proof · cited by 6,238
- MonoidHomstatement and proof · cited by 3,629
- Equiv.Permstatement · cited by 1,375
- MulEquiv.symmproof · cited by 482
- MonoidHom.compproof · cited by 469
- MulEquiv.toMonoidHomproof · cited by 126
- Function.Endstatement and proof · cited by 21
- MonoidHom.toHomUnitsproof · cited by 9
- Equiv.Perm.equivUnitsEndproof · cited by 4
Cited by2
Results whose statement or proof uses this declaration.
- MonoidHom.toHomPerm_apply_applystatement and proof · cited by 0
- MonoidHom.toHomPerm_apply_symm_applystatement and proof · cited by 0