Theorems · Theorem · nonassociative algebras

RootPairing.Equiv.coweightEquiv_comp_toLin

∀ {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} (x y : P.Equiv P),
  RootPairing.Equiv.coweightEquiv P P (x.comp y) =
    RootPairing.Equiv.coweightEquiv P P x ≪≫ₗ RootPairing.Equiv.coweightEquiv P P y

Defined in

Mathlib.LinearAlgebra.RootSystem.Hom

Cited by

0 results in Mathlib

Foundations

Depth 46 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommRingAddCommGroupModuleAddCommGroupModule