Theorems · Theorem · nonassociative algebras
RootPairing.chainBotCoeff_add_chainTopCoeff_le_three
∀ {ι : Type u_1} {R : Type u_2} {M : Type u_3} {N : Type u_4} [inst : Finite ι] [inst_1 : CommRing R]
[inst_2 : CharZero R] [inst_3 : IsDomain R] [inst_4 : AddCommGroup M] [inst_5 : Module R M] [inst_6 : AddCommGroup N]
[inst_7 : Module R N] {P : RootPairing ι R M N} [inst_8 : P.IsCrystallographic] {i j : ι} [P.IsReduced],
RootPairing.chainBotCoeff i j + RootPairing.chainTopCoeff i j ≤ 3- Defined in
- Mathlib.LinearAlgebra.RootSystem.Chain
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 107 from the axioms · uses propext, Classical.choice, Quot.sound
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- 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
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