Theorems · Theorem · group theory
AddCommMagma.IsLeftCancelAdd.toIsCancelAdd
∀ (G : Type u) [inst : AddCommMagma G] [IsLeftCancelAdd G], IsCancelAdd G
Any AddCommMagma G that satisfies
IsLeftCancelAdd G also satisfies IsCancelAdd G.
- Defined in
- Mathlib.Algebra.Group.Defs
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 8 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.
- IsCancelAddstatement · cited by 79
- IsLeftCancelAddstatement and proof · cited by 72
- IsRightCancelAddproof · cited by 69
- AddCommMagmastatement and proof · cited by 32
- AddCommMagma.IsLeftCancelAdd.toIsRightCancelAddproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- Polynomial.isLeftCancelMulZero_iffproof · cited by 1