Theorems · Theorem · nonassociative algebras
RootPairing.GeckConstruction.coe_genWeightSpace_zero_eq_span_range_u
∀ {ι : Type u_1} {K : Type u_2} {M : Type u_3} {N : Type u_4} [inst : Field K] [inst_1 : CharZero K]
[inst_2 : DecidableEq ι] [inst_3 : Fintype ι] [inst_4 : AddCommGroup M] [inst_5 : Module K M]
[inst_6 : AddCommGroup N] [inst_7 : Module K N] {P : RootPairing ι K M N} [inst_8 : P.IsCrystallographic]
{b : P.Base},
↑(LieModule.genWeightSpace (↥b.support ⊕ ι → K) 0) = Submodule.span K (Set.range RootPairing.GeckConstruction.u)- Cited by
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- Foundations
- Depth 104 from the axioms · uses propext, Classical.choice, Quot.sound
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