Theorems · Inductive type · group theory
AddLeftCancelSemigroup
Type u → Type u
An AddLeftCancelSemigroup is an additive semigroup such that
a + b = a + c implies b = c.
- Defined in
- Mathlib.Algebra.Group.Defs
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 0 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites0
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
Nothing in Mathlib beyond the foundations.
Cited by13
Results whose statement or proof uses this declaration.
- AddLeftCancelSemigroup.extstatement and proof · cited by 1
- FunLike.addLeftCancelSemigroupstatement and proof · cited by 0
- AddLeftCancelSemigroup.casesOnstatement and proof · cited by 0
- AddLeftCancelSemigroup.ctorIdxstatement and proof · cited by 0
- AddLeftCancelSemigroup.ext_iffstatement and proof · cited by 0
- Function.Injective.addCancelCommMonoidproof · cited by 0
- AddLeftCancelSemigroup.noConfusionstatement and proof · cited by 0
- AddLeftCancelSemigroup.noConfusionTypestatement and proof · cited by 0
- AddLeftCancelSemigroup.recOnstatement and proof · cited by 0
- Function.Injective.addLeftCancelMonoidproof · cited by 0
- Function.Injective.addLeftCancelSemigroupstatement and proof · cited by 0
- Contravariant.toAddLeftCancelSemigroupstatement · cited by 0