Theorems · Theorem · nonassociative algebras

RootPairing.Base.toWeightBasis.congr_simp

∀ {ι : Type u_1} {R : Type u_2} {M : Type u_3} {N : Type u_4} [inst : CommRing R] [inst_1 : AddCommGroup M]
  [inst_2 : Module R M] [inst_3 : AddCommGroup N] [inst_4 : Module R N] {P : RootPairing ι R M N} (b : P.Base)
  [inst_5 : P.IsRootSystem], b.toWeightBasis = b.toWeightBasis

Defined in: Mathlib.LinearAlgebra.RootSystem.Base
Cited by: 0 results in Mathlib
Foundations: Depth 89 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: CommRing AddCommGroup Module AddCommGroup Module RootPairing.IsRootSystem

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Modulestatement and proof · cited by 20,661
CommRingstatement and proof · cited by 17,173
Finsetstatement · cited by 13,712
AddCommGroupstatement and proof · cited by 12,871
Module.Basisstatement · cited by 1,477
RootPairingstatement and proof · cited by 710
RootPairing.Basestatement and proof · cited by 148
RootPairing.Base.supportstatement · cited by 139
RootPairing.IsRootSystemstatement and proof · cited by 50
RootPairing.Base.toWeightBasisstatement and proof · cited by 8

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