Theorems · Theorem · group theory
Representation.freeLiftLEquiv_apply
∀ {G : Type v} [inst : Monoid G] {V : Type v'} [inst_1 : AddCommMonoid V] {k : Type u} [inst_2 : CommSemiring k]
[inst_3 : Module k V] (σ : Representation k G V) (α : Type w') (f : (Representation.free k G α).IntertwiningMap σ)
(i : α), (σ.freeLiftLEquiv α) f i = f fun₀ | i => MonoidAlgebra.single 1 1- Defined in
- Mathlib.RepresentationTheory.Equiv
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 91 from the axioms · uses propext, Classical.choice, Quot.sound
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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 and proof · cited by 62,936
- Modulestatement and proof · cited by 20,661
- RingHom.idstatement · cited by 18,349
- AddCommMonoidstatement and proof · cited by 12,281
- CommSemiringstatement and proof · cited by 10,911
- Finsuppstatement · cited by 5,255
- Monoidstatement and proof · cited by 3,887
- LinearEquivstatement · cited by 3,317
- Finsupp.singlestatement · cited by 943
- MonoidAlgebrastatement · cited by 590
- Representationstatement and proof · cited by 396
- Representation.IntertwiningMapstatement and proof · cited by 261
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