Theorems · Definition · nonassociative algebras
RightPreLieAlgebra.casesOn
{R : Type u_1} →
[inst : CommRing R] →
{L : Type u_2} →
[inst_1 : RightPreLieRing L] →
{motive : RightPreLieAlgebra R L → Sort u} →
(t : RightPreLieAlgebra R L) →
([toModule : Module R L] →
[toIsScalarTower : IsScalarTower R L L] →
[toSMulCommClass : SMulCommClass R L L] →
motive
{ toModule := toModule, toIsScalarTower := toIsScalarTower,
toSMulCommClass := toSMulCommClass }) →
motive t- Defined in
- Mathlib.Algebra.NonAssoc.PreLie.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 8 from the axioms · uses no axioms
- Assumes
- CommRingRightPreLieRing
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.
- Modulestatement and proof · cited by 20,661
- CommRingstatement and proof · cited by 17,173
- IsScalarTowerstatement and proof · cited by 3,896
- SMulCommClassstatement and proof · cited by 1,927
- RightPreLieRingstatement and proof · cited by 6
- RightPreLieAlgebrastatement and proof · cited by 2
Cited by2
Results whose statement or proof uses this declaration.
- RightPreLieAlgebra.noConfusionproof · cited by 0
- RightPreLieAlgebra.noConfusionTypeproof · cited by 0