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Theorems · Theorem · nonassociative algebras

IsSl2Triple.h_ne_zero

∀ {L : Type u_2} [inst : LieRing L] {h e f : L}, IsSl2Triple h e f → h ≠ 0
Defined in
Mathlib.Algebra.Lie.Sl2
Cited by
4 results in Mathlib
Foundations
Depth 13 from the axioms · uses propext
Assumes
LieRing
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

IsSl2Triple.h_eq_coroot · cited by 4IsSl2Triple.h_eq_corootIsSl2Triple.e_ne_zero · cited by 4IsSl2Triple.e_ne_zeroIsSl2Triple.f_ne_zero · cited by 3IsSl2Triple.f_ne_zeroIsSl2Triple.symm · cited by 2IsSl2Triple.symmLieRing · cited by 1548LieRingIsSl2Triple · cited by 38IsSl2TripleIsSl2Triple.h_ne_zeroCITED BYCITES

Cites2

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by4

Results whose statement or proof uses this declaration.