Theorems · Theorem · group theory
Representation.diagonalOneEquivLeftRegular_symm_apply_single
∀ {k : Type u} [inst : Semiring k] {G : Type v} [inst_1 : Monoid G] (g : G) (r : k),
(Representation.diagonalOneEquivLeftRegular k G).symm (MonoidAlgebra.single g r) =
MonoidAlgebra.single (uniqueElim g) r- 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
- Semiringstatement and proof · cited by 13,802
- Monoidstatement and proof · cited by 3,887
- Equiv.symmproof · cited by 3,681
- MonoidAlgebrastatement · cited by 590
- MonoidAlgebra.singlestatement and proof · cited by 253
- Representation.Equivstatement · cited by 60
- Representation.leftRegularstatement · cited by 39
- uniqueElimstatement and proof · cited by 29
- Representation.Equiv.symmstatement · cited by 27
- Equiv.funUniqueproof · cited by 22
- Equiv.funUnique_symm_applyproof · cited by 4
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