Theorems · Definition · group theory
Representation.linearizeOfMulActionIso
(k : Type u) →
(G : Type v) →
[inst : Monoid G] →
[inst_1 : Semiring k] →
(H : Type w) →
[inst_2 : MulAction G H] →
(Representation.linearize k G (Action.ofMulAction G H)).Equiv (Representation.ofMulAction k G H)This a type-changing equivalence to avoid abusing defeq.
- Defined in
- Mathlib.RepresentationTheory.Action
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 85 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Semiringstatement and proof · cited by 13,802
- Monoidstatement and proof · cited by 3,887
- MulActionstatement and proof · cited by 1,294
- MonoidAlgebrastatement and proof · cited by 590
- Action.Vstatement and proof · cited by 176
- LinearEquiv.reflproof · cited by 143
- Representation.Equivstatement · cited by 60
- Representation.linearizestatement · cited by 36
- Representation.ofMulActionstatement · cited by 15
- Representation.Equiv.mkproof · cited by 9
- Action.ofMulActionstatement and proof · cited by 8
Cited by2
Results whose statement or proof uses this declaration.
- Rep.linearizationOfMulActionIsoproof · cited by 1
- Representation.linearizeDiagonalEquivproof · cited by 0