Theorems · Theorem · nonassociative algebras
IsSl2Triple.e_ne_zero
∀ {L : Type u_2} [inst : LieRing L] {h e f : L}, IsSl2Triple h e f → e ≠ 0- Defined in
- Mathlib.Algebra.Lie.Sl2
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 16 from the axioms · uses propext
- Assumes
- LieRing
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- LieRingstatement and proof · cited by 1,548
- Bracket.bracketproof · cited by 642
- IsSl2Triplestatement and proof · cited by 38
- zero_lieproof · cited by 16
- IsSl2Triple.lie_e_fproof · cited by 8
- IsSl2Triple.h_ne_zeroproof · cited by 4
Cited by4
Results whose statement or proof uses this declaration.
- IsSl2Triple.h_eq_corootproof · cited by 4
- LieAlgebra.IsKilling.sl2SubmoduleOfRoot_eq_supproof · cited by 3
- LieAlgebra.Basis.A_diag_eq_twoproof · cited by 1
- LieAlgebra.IsKilling.mem_sl2SubalgebraOfRoot_iffproof · cited by 1