Theorems · Theorem · nonassociative algebras
RootPairing.disjoint_corootSpan_ker_corootForm
∀ {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] [IsDomain R] [inst_5 : Module R M] [inst_6 : Module R N]
(P : RootPairing ι R M N) [P.IsAnisotropic], Disjoint (P.corootSpan R) (LinearMap.ker P.CorootForm)- Cited by
- 0 results in Mathlib
- Foundations
- Depth 125 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites16
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Modulestatement and proof · cited by 20,661
- RingHom.idstatement · cited by 18,349
- CommRingstatement and proof · cited by 17,173
- AddCommGroupstatement and proof · cited by 12,871
- LinearMapstatement · cited by 10,215
- Fintypestatement and proof · cited by 7,736
- Submodulestatement · cited by 7,192
- Disjointstatement · cited by 2,201
- IsDomainstatement and proof · cited by 2,196
- LinearMap.kerstatement · cited by 848
- RootPairingstatement and proof · cited by 710
- RootPairing.flipproof · cited by 79
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