Theorems · Theorem · nonassociative algebras
RootPairing.orthogonal_rootSpan_eq
∀ {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 : Field R] [inst_4 : Module R M] [inst_5 : Module R N] (P : RootPairing ι R M N)
[P.IsAnisotropic], P.RootForm.orthogonal (P.rootSpan R) = LinearMap.ker P.RootForm- Cited by
- 1 results in Mathlib
- Foundations
- Depth 126 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites25
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
- RingHom.idstatement · cited by 18,349
- AddCommGroupstatement and proof · cited by 12,871
- LinearMapstatement · cited by 10,215
- Top.topproof · cited by 9,680
- Fintypestatement and proof · cited by 7,736
- Fieldstatement and proof · cited by 7,404
- Submodulestatement and proof · cited by 7,192
- add_zeroproof · cited by 2,707
- le_antisymmproof · cited by 2,068
- map_addproof · cited by 964
Cited by1
Results whose statement or proof uses this declaration.
- RootPairing.orthogonal_corootSpan_eqproof · cited by 0