Theorems · Theorem · group theory
Representation.leftRegularTensorTrivialIsoFree_apply_single_tmul_single
∀ {G : Type v} [inst : Monoid G] {k : Type u} [inst_1 : CommSemiring k] {α : Type w'} (g : G) (i : α) (r s : k),
(Representation.leftRegularTensorTrivialIsoFree α) (MonoidAlgebra.single g r ⊗ₜ[k] MonoidAlgebra.single i s) =
fun₀ | i => MonoidAlgebra.single g (r * s)- Defined in
- Mathlib.RepresentationTheory.Equiv
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 96 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- MonoidCommSemiring
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Cites31
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- DFunLike.coestatement and proof · cited by 62,936
- CommSemiringstatement and proof · cited by 10,911
- Finsuppstatement · cited by 5,255
- Monoidstatement and proof · cited by 3,887
- TensorProductstatement · cited by 2,545
- LinearEquiv.symmproof · cited by 1,461
- TensorProduct.tmulstatement and proof · cited by 1,182
- Finsupp.singlestatement and proof · cited by 943
- MonoidAlgebrastatement · cited by 590
- MonoidAlgebra.singlestatement and proof · cited by 253
- Representation.tprodstatement · cited by 103
- Representation.Equivstatement · cited by 60
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