Theorems · Theorem · nonassociative algebras

RootPairing.PolarizationEquiv.congr_simp

∀ {ι : Type u_1} {R : Type u_2} {M : Type u_3} {N : Type u_4} [inst : Fintype ι] [inst_1 : AddCommGroup M]
  [inst_2 : AddCommGroup N] [inst_3 : Field R] [inst_4 : Module R M] [inst_5 : Module R N] (P P_1 : RootPairing ι R M N)
  (e_P : P = P_1) [inst_6 : P.IsAnisotropic] [inst_7 : P.IsRootSystem], P.PolarizationEquiv = P_1.PolarizationEquiv

Defined in: Mathlib.LinearAlgebra.RootSystem.Finite.Nondegenerate
Cited by: 0 results in Mathlib
Foundations: Depth 128 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: Fintype AddCommGroup AddCommGroup Field Module Module RootPairing.IsAnisotropic RootPairing.IsRootSystem

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Modulestatement and proof · cited by 20,661
RingHom.idstatement · cited by 18,349
AddCommGroupstatement and proof · cited by 12,871
Fintypestatement and proof · cited by 7,736
Fieldstatement and proof · cited by 7,404
LinearEquivstatement · cited by 3,317
RootPairingstatement and proof · cited by 710
RootPairing.IsRootSystemstatement and proof · cited by 50
RootPairing.IsAnisotropicstatement and proof · cited by 31
RootPairing.PolarizationEquivstatement and proof · cited by 6

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