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Theorems · Theorem · nonassociative algebras

RootPairing.IsG2.nonempty

∀ {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) [P.IsG2], Nonempty ι
Defined in
Mathlib.LinearAlgebra.RootSystem.Finite.G2
Cited by
1 results in Mathlib
Foundations
Depth 43 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
CommRingAddCommGroupModuleAddCommGroupModuleRootPairing.IsG2
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

RootPairing.IsG2.card_base_support_eq_two · cited by 1IsG2.card_base_support_eq…Module · cited by 20661ModuleCommRing · cited by 17173CommRingAddCommGroup · cited by 12871AddCommGroupRootPairing · cited by 710RootPairingRootPairing.IsG2 · cited by 8RootPairing.IsG2RootPairing.IsG2.exists_pairingIn_neg_three · cited by 3IsG2.exists_pairingIn_neg…IsG2.nonemptyCITED BYCITES

Cites6

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Cited by1

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