Theorems · Definition · nonassociative algebras
associator
{R : Type u_1} → [NonUnitalNonAssocRing R] → R → R → R → RThe associator (x * y) * z - x * (y * z)
- Defined in
- Mathlib.Algebra.Ring.Associator
- Cited by
- 14 results in Mathlib
- Foundations
- Depth 6 from the axioms · uses no axioms
- Assumes
- NonUnitalNonAssocRing
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites1
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- NonUnitalNonAssocRingstatement and proof · cited by 354
Cited by29
Results whose statement or proof uses this declaration.
- LeftPreLieRing.assoc_symm'statement · cited by 1
- LeftPreLieRing.extproof · cited by 1
- RightPreLieRing.assoc_symm'statement · cited by 1
- RightPreLieRing.extproof · cited by 1
- LieAdmissibleRing.extproof · cited by 1
- associator_eq_zero_iff_associativestatement and proof · cited by 1
- LeftPreLieRing.mk.noConfusionstatement and proof · cited by 0
- LeftPreLieRing.assoc_symmstatement · cited by 0
- LeftPreLieRing.casesOnstatement and proof · cited by 0
- RightPreLieRing.mk.noConfusionstatement and proof · cited by 0
- LeftPreLieRing.noConfusionproof · cited by 0
- LeftPreLieRing.noConfusionTypeproof · cited by 0