Theorems · Theorem · nonassociative algebras
RootPairing.polarizationEquiv_apply
∀ {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)
[inst_6 : P.IsAnisotropic] [inst_7 : P.IsRootSystem] (m : M), P.PolarizationEquiv m = P.Polarization m- Cited by
- 1 results in Mathlib
- Foundations
- Depth 129 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.coestatement and proof · cited by 62,936
- Modulestatement and proof · cited by 20,661
- RingHom.idstatement and proof · cited by 18,349
- AddCommGroupstatement and proof · cited by 12,871
- LinearMapstatement and proof · cited by 10,215
- Fintypestatement and proof · cited by 7,736
- Fieldstatement and proof · cited by 7,404
- LinearEquivstatement · cited by 3,317
- RootPairingstatement and proof · cited by 710
- RootPairing.IsRootSystemstatement and proof · cited by 50
- RootPairing.IsAnisotropicstatement and proof · cited by 31
- RootPairing.Polarizationstatement · cited by 20
Cited by1
Results whose statement or proof uses this declaration.
- RootPairing.coroot_eq_polarizationEquiv_apply_rootproof · cited by 2