Theorems · Theorem · group theory
MonoidHom.toHomPerm_apply_symm_apply
∀ {α : Type u_4} {G : Type u_7} [inst : Group G] (f : G →* Function.End α) (x : G),
⇑(Equiv.symm (f.toHomPerm x)) = ↑(f.toHomUnits x)⁻¹- Defined in
- Mathlib.Algebra.Group.End
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 22 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Group
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Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Equivstatement · cited by 8,337
- Groupstatement and proof · cited by 6,238
- Equiv.symmstatement and proof · cited by 3,681
- MonoidHomstatement and proof · cited by 3,629
- Unitsstatement · cited by 2,804
- Units.valstatement · cited by 1,966
- Equiv.Permstatement · cited by 1,375
- Function.Endstatement and proof · cited by 21
- MonoidHom.toHomUnitsstatement · cited by 9
- MonoidHom.toHomPermstatement and proof · cited by 2
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