Theorems · Theorem · nonassociative algebras
RootPairing.InvariantForm.apply_root_ne_zero
∀ {ι : Type u_1} {R : Type u_2} {M : Type u_4} {N : Type u_5} [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} (B : P.InvariantForm)
(i : ι), B.form (P.root i) ≠ 0- Cited by
- 1 results in Mathlib
- Foundations
- Depth 36 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites13
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 · cited by 18,349
- CommRingstatement and proof · cited by 17,173
- AddCommGroupstatement and proof · cited by 12,871
- LinearMapstatement · cited by 10,215
- Function.Embeddingstatement · cited by 988
- RootPairingstatement and proof · cited by 710
- LinearMap.BilinFormstatement · cited by 501
- RootPairing.rootstatement and proof · cited by 326
- RootPairing.InvariantFormstatement and proof · cited by 35
- RootPairing.InvariantForm.formstatement and proof · cited by 33
Cited by1
Results whose statement or proof uses this declaration.
- RootPairing.exists_form_eq_form_and_form_ne_zeroproof · cited by 1