Theorems · Theorem · group theory
FDRep.char_one
∀ {k : Type u} [inst : Field k] {G : Type v} [inst_1 : Monoid G] (V : FDRep k G),
V.character 1 = ↑(Module.finrank k ↑V.V)- Defined in
- Mathlib.RepresentationTheory.Character
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 121 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites16
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Fieldstatement and proof · cited by 7,404
- Monoidstatement and proof · cited by 3,887
- Module.finrankstatement and proof · cited by 1,770
- ModuleCatstatement · cited by 1,429
- CategoryTheory.ObjectProperty.FullSubcategory.objstatement · cited by 1,316
- map_oneproof · cited by 861
- Action.Vstatement and proof · cited by 176
- LinearMap.traceproof · cited by 87
- ModuleCat.isFGstatement · cited by 53
- FGModuleCatstatement · cited by 52
- FDRepstatement and proof · cited by 33
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