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Theorems · Theorem · nonassociative algebras

RootPairing.not_isIrreducible_of_subsingleton

∀ {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) [Subsingleton M],
  ¬P.IsIrreducible
Defined in
Mathlib.LinearAlgebra.RootSystem.Irreducible
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Foundations
Depth 9 from the axioms · uses no axioms
Assumes
CommRingAddCommGroupModuleAddCommGroupModuleSubsingleton
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Module · cited by 20661ModuleCommRing · cited by 17173CommRingAddCommGroup · cited by 12871AddCommGroupRootPairing · cited by 710RootPairingRootPairing.IsIrreducible · cited by 35RootPairing.IsIrreduciblenot_nontrivial · cited by 5not_nontrivialRootPairing.IsIrreducible.nontrivial · cited by 2IsIrreducible.nontrivialRootPairing.not_isIrreducible…CITED BYCITES

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