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Theorems · Theorem · nonassociative algebras

RootPairing.toInvariantForm.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 : CommRing R] [inst_4 : Module R M] [inst_5 : Module R N] (P : RootPairing ι R M N)
  [inst_6 : P.IsAnisotropic], P.toInvariantForm = P.toInvariantForm
Defined in
Mathlib.LinearAlgebra.RootSystem.Finite.Nondegenerate
Cited by
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Foundations
Depth 62 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
FintypeAddCommGroupAddCommGroupCommRingModuleModuleRootPairing.IsAnisotropic
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Module · cited by 20661ModuleCommRing · cited by 17173CommRingAddCommGroup · cited by 12871AddCommGroupFintype · cited by 7736FintypeRootPairing · cited by 710RootPairingRootPairing.InvariantForm · cited by 35RootPairing.InvariantFormRootPairing.IsAnisotropic · cited by 31RootPairing.IsAnisotropicRootPairing.toInvariantForm · cited by 6RootPairing.toInvariantFo…toInvariantForm.congr_simpCITED BYCITES

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