Theorems · Theorem · nonassociative algebras

RootPairing.Equiv.inv_coweightMap

∀ {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] {ι₂ : Type u_8} {M₂ : Type u_9} {N₂ : Type u_10}
  [inst_5 : AddCommGroup M₂] [inst_6 : Module R M₂] [inst_7 : AddCommGroup N₂] [inst_8 : Module R N₂]
  (P : RootPairing ι R M N) (Q : RootPairing ι₂ R M₂ N₂) (f : P.Equiv Q),
  (↑(RootPairing.Equiv.symm P Q f)).coweightMap = ↑(RootPairing.Equiv.coweightEquiv P Q f).symm

Defined in

Mathlib.LinearAlgebra.RootSystem.Hom

Cited by

0 results in Mathlib

Foundations

Depth 43 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommRingAddCommGroupModuleAddCommGroupModuleAddCommGroupModuleAddCommGroupModule