Theorems · Theorem · group theory
AddCommMagma.IsLeftCancelAdd.toIsRightCancelAdd
∀ (G : Type u) [inst : AddCommMagma G] [IsLeftCancelAdd G], IsRightCancelAdd G
Any AddCommMagma G that
satisfies IsLeftCancelAdd G also satisfies IsRightCancelAdd G.
- Defined in
- Mathlib.Algebra.Group.Defs
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 7 from the axioms · uses no axioms
- Assumes
- AddCommMagmaIsLeftCancelAdd
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- add_commproof · cited by 1,535
- IsLeftCancelAddstatement and proof · cited by 72
- IsRightCancelAddstatement · cited by 69
- AddCommMagmastatement and proof · cited by 32
- add_left_cancelproof · cited by 29
Cited by1
Results whose statement or proof uses this declaration.
- AddCommMagma.IsLeftCancelAdd.toIsCancelAddproof · cited by 1