Theorems · Theorem · nonassociative algebras
LieAlgebra.Basis.A_diag_eq_two
∀ {ι : Type u_1} {R : Type u_2} {L : Type u_3} [inst : Finite ι] [inst_1 : CommRing R] [inst_2 : LieRing L]
[inst_3 : LieAlgebra R L] {H : LieSubalgebra R L} (b : LieAlgebra.Basis ι H) [IsAddTorsionFree L] (i : ι), b.A i i = 2- Defined in
- Mathlib.Algebra.Lie.Basis.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 41 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.
- CommRingstatement and proof · cited by 17,173
- Finitestatement and proof · cited by 3,029
- LieRingstatement and proof · cited by 1,548
- LieAlgebrastatement and proof · cited by 1,246
- LieSubalgebrastatement and proof · cited by 418
- sub_eq_zeroproof · cited by 407
- IsAddTorsionFreestatement and proof · cited by 155
- sub_smulproof · cited by 97
- LieAlgebra.Basisstatement and proof · cited by 44
- LieAlgebra.Basis.eproof · cited by 15
- LieAlgebra.Basis.Astatement and proof · cited by 14
- NoZeroSMulDivisorsproof · cited by 9
Cited by1
Results whose statement or proof uses this declaration.
- LieAlgebra.Basis.coroot_eq_h'proof · cited by 1