Theorems · Theorem · nonassociative algebras
RootPairing.IsAnisotropic.corootForm_coroot_ne_zero
∀ {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} {inst_4 : Module R M} {inst_5 : Module R N} {P : RootPairing ι R M N}
[self : P.IsAnisotropic] (i : ι), (P.CorootForm (P.coroot i)) (P.coroot i) ≠ 0- Cited by
- 0 results in Mathlib
- Foundations
- Depth 41 from the axioms · uses propext, Quot.sound
- Assumes
- RootPairing.IsAnisotropic
Around this declaration
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Cites13
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · 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
- Function.Embeddingstatement · cited by 988
- RootPairingstatement and proof · cited by 710
- LinearMap.BilinFormstatement · cited by 501
- RootPairing.corootstatement · cited by 123
- RootPairing.IsAnisotropicstatement and proof · cited by 31
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