Theorems · Theorem · nonassociative algebras
RootPairing.chainTopCoeff_reflectionPerm_right
∀ {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},
RootPairing.chainTopCoeff i ((P.reflectionPerm j) j) = RootPairing.chainBotCoeff i j- Defined in
- Mathlib.LinearAlgebra.RootSystem.Chain
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 104 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites18
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
- Setproof · cited by 53,352
- Modulestatement and proof · cited by 20,661
- CommRingstatement and proof · cited by 17,173
- AddCommGroupstatement and proof · cited by 12,871
- Equivstatement · cited by 8,337
- Finitestatement and proof · cited by 3,029
- IsDomainstatement and proof · cited by 2,196
- le_antisymmproof · cited by 2,068
- Set.Iccproof · cited by 1,702
- CharZerostatement and proof · cited by 932
- RootPairingstatement and proof · cited by 710
Cited by3
Results whose statement or proof uses this declaration.
- RootPairing.chainBotCoeff_reflectionPerm_rightproof · cited by 4
- RootPairing.GeckConstruction.ω_mul_eproof · cited by 3
- RootPairing.chainBotCoeff_mul_chainTopCoeffproof · cited by 1