Theorems · Theorem · group theory
Representation.ofMulActionSubsingletonEquivTrivial_apply
∀ {k : Type u} [inst : Semiring k] {G : Type v} [inst_1 : Monoid G] (H : Type w) [inst_2 : Subsingleton H]
[inst_3 : MulOneClass H] [inst_4 : MulAction G H] (f : MonoidAlgebra k H),
(↑(Representation.ofMulActionSubsingletonEquivTrivial k G H)).toLinearMap f = f.coeff 1- Defined in
- Mathlib.RepresentationTheory.Equiv
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 87 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
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Cites15
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- RingHom.idstatement · cited by 18,349
- Semiringstatement and proof · cited by 13,802
- LinearMapstatement · cited by 10,215
- Finsuppstatement · cited by 5,255
- Monoidstatement and proof · cited by 3,887
- MulActionstatement and proof · cited by 1,294
- MulOneClassstatement and proof · cited by 1,018
- MonoidAlgebrastatement and proof · cited by 590
- MonoidAlgebra.coeffstatement · cited by 224
- Representation.IntertwiningMap.toLinearMapstatement · cited by 205
- Representation.Equiv.toIntertwiningMapstatement · cited by 46
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