Theorems · Theorem · nonassociative algebras
RootPairing.chainBotCoeff_add_chainTopCoeff_le_two
∀ {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 : Finite ι]
[inst_6 : CharZero R] [inst_7 : IsDomain R] (i j : ι) [inst_8 : P.IsNotG2],
RootPairing.chainBotCoeff i j + RootPairing.chainTopCoeff i j ≤ 2- Cited by
- 2 results in Mathlib
- Foundations
- Depth 107 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites24
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
- CommRingstatement and proof · cited by 17,173
- AddCommGroupstatement and proof · cited by 12,871
- Finitestatement and proof · cited by 3,029
- add_zeroproof · cited by 2,707
- IsDomainstatement and proof · cited by 2,196
- CharZerostatement and proof · cited by 932
- Matrix.vecConsproof · cited by 852
- Matrix.vecEmptyproof · cited by 832
- RootPairingstatement and proof · cited by 710
- Nat.cast_addproof · cited by 586
Cited by2
Results whose statement or proof uses this declaration.
- RootPairing.chainBotCoeff_if_one_zeroproof · cited by 2
- RootPairing.pairingIn_le_zero_of_root_add_memproof · cited by 1