Theorems · Theorem · nonassociative algebras
RootPairing.ker_polarization_eq_ker_rootForm
∀ {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) [inst_5 : Fintype ι],
P.Polarization.ker = LinearMap.ker P.RootForm- Cited by
- 2 results in Mathlib
- Foundations
- Depth 59 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites14
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
- 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
- LinearMap.kerstatement · cited by 848
- RootPairingstatement and proof · cited by 710
- Submodule.extproof · cited by 204
- RootPairing.RootFormstatement and proof · cited by 41
Cited by2
Results whose statement or proof uses this declaration.
- RootPairing.disjoint_rootSpan_ker_rootFormproof · cited by 5
- RootPairing.ker_copolarization_eq_ker_corootFormproof · cited by 0