Theorems · Theorem · nonassociative algebras

RootPairing.Equiv.ext

∀ {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_5} {M₂ : Type u_6} {N₂ : Type u_7}
  {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} {x y : P.Equiv Q},
  (↑x).weightMap = (↑y).weightMap → (↑x).coweightMap = (↑y).coweightMap → (↑x).indexEquiv = (↑y).indexEquiv → x = y

Defined in

Mathlib.LinearAlgebra.RootSystem.Hom

Cited by

7 results in Mathlib

Foundations

Depth 44 from the axioms · uses propext, Classical.choice, Quot.sound