Theorems · Theorem · group theory
Representation.ofMulActionSelfAsModuleEquiv_symm_apply
∀ {k : Type u_1} {G : Type u_2} [inst : CommSemiring k] [inst_1 : Group G] (a : MonoidAlgebra k G),
Representation.ofMulActionSelfAsModuleEquiv.symm a =
(Representation.ofMulAction k G G).asModuleEquiv.toAddEquiv.invFun a- Defined in
- Mathlib.RepresentationTheory.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 96 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommSemiringGroup
Around this declaration
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Cites14
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
- RingHom.idstatement · cited by 18,349
- CommSemiringstatement and proof · cited by 10,911
- Groupstatement and proof · cited by 6,238
- LinearEquivstatement · cited by 3,317
- LinearEquiv.symmstatement and proof · cited by 1,461
- MonoidAlgebrastatement and proof · cited by 590
- AddEquiv.toEquivstatement · cited by 174
- Equiv.invFunstatement · cited by 163
- LinearEquiv.toAddEquivstatement · cited by 58
- Representation.asModulestatement · cited by 22
- Representation.ofMulActionstatement · cited by 15
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