Theorems · Theorem · nonassociative algebras
RootPairing.nonempty_base
∀ {ι : Type u_1} {R : Type u_2} {M : Type u_3} {N : Type u_4} [Finite ι] [inst : AddCommGroup M]
[inst_1 : AddCommGroup N] [inst_2 : Field R] [CharZero R] [inst_4 : Module R M] [inst_5 : Module R N]
(P : RootPairing ι R M N) [P.IsRootSystem] [P.IsCrystallographic] [P.IsReduced], Nonempty P.Base- Cited by
- 0 results in Mathlib
- Foundations
- Depth 136 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
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Cites26
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Modulestatement and proof · cited by 20,661
- AddCommGroupstatement and proof · cited by 12,871
- Fieldstatement and proof · cited by 7,404
- Algebra.algebraMapproof · cited by 4,706
- Finitestatement and proof · cited by 3,029
- CharZerostatement and proof · cited by 932
- RootPairingstatement and proof · cited by 710
- Module.Dualproof · cited by 583
- RootPairing.rootproof · cited by 326
- AddMonoidHomClass.toAddMonoidHomproof · cited by 232
- RootPairing.IsCrystallographicstatement and proof · cited by 160
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