Theorems · Theorem · nonassociative algebras
LieAlgebra.Basis.ext
∀ {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} {x y : LieAlgebra.Basis ι H},
x.A = y.A → x.h = y.h → x.e = y.e → x.f = y.f → x = y- Defined in
- Mathlib.Algebra.Lie.Basis.Basic
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 83 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
- Top.topproof · cited by 9,680
- Set.rangeproof · cited by 4,705
- Matrixstatement and proof · cited by 4,303
- Finitestatement and proof · cited by 3,029
- LieRingstatement and proof · cited by 1,548
- LieAlgebrastatement and proof · cited by 1,246
- Bracket.bracketproof · cited by 642
- LinearIndependentproof · cited by 560
- LieSubalgebrastatement and proof · cited by 418
- Matrix.Nondegenerateproof · cited by 49
- LieAlgebra.Basisstatement and proof · cited by 44
Cited by2
Results whose statement or proof uses this declaration.
- LieAlgebra.Basis.ext_iffproof · cited by 0
- LieAlgebra.Basis.symm_symmproof · cited by 0