Theorems · Theorem · group theory
IsLeftCancelAdd.add_left_cancel
∀ {G : Type u} {inst : Add G} [self : IsLeftCancelAdd G] (a : G), IsAddLeftRegular aAddition is left cancellative (i.e. left regular).
- Defined in
- Mathlib.Algebra.Group.Defs
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 5 from the axioms · uses no axioms
- Assumes
- IsLeftCancelAdd
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites2
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- IsLeftCancelAddstatement and proof · cited by 72
- IsAddLeftRegularstatement · cited by 58
Cited by1
Results whose statement or proof uses this declaration.
- add_left_cancelproof · cited by 29