Theorems · Theorem · group theory
Rep.hom_inv_leftUnitor
∀ {k : Type u} {G : Type v} [inst : CommRing k] [inst_1 : Monoid G] {X : Rep.{u, u, v} k G},
Rep.Hom.hom (CategoryTheory.MonoidalCategoryStruct.leftUnitor X).inv = ↑(Representation.TensorProduct.lid k X.ρ).symm- Defined in
- Mathlib.RepresentationTheory.Rep.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 75 from the axioms · uses propext, Quot.sound
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Cites17
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CommRingstatement and proof · cited by 17,173
- CategoryTheory.Iso.invstatement · cited by 6,514
- Monoidstatement and proof · cited by 3,887
- CategoryTheory.MonoidalCategoryStruct.tensorObjstatement · cited by 3,106
- TensorProductstatement · cited by 2,545
- CategoryTheory.MonoidalCategoryStruct.tensorUnitstatement · cited by 1,384
- Repstatement and proof · cited by 843
- Rep.Vstatement · cited by 695
- CategoryTheory.MonoidalCategoryStruct.leftUnitorstatement · cited by 437
- Rep.ρstatement · cited by 356
- Representation.IntertwiningMapstatement · cited by 261
- Rep.Hom.homstatement · cited by 190
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