Theorems · Theorem · group theory
CommMagma.IsRightCancelMul.toIsLeftCancelMul
∀ (G : Type u) [inst : CommMagma G] [IsRightCancelMul G], IsLeftCancelMul G
Any CommMagma G that satisfies IsRightCancelMul G also satisfies IsLeftCancelMul G.
- Defined in
- Mathlib.Algebra.Group.Defs
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 7 from the axioms · uses no axioms
- Assumes
- CommMagmaIsRightCancelMul
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.
- mul_commproof · cited by 2,262
- CommMagmastatement and proof · cited by 57
- IsLeftCancelMulstatement · cited by 51
- IsRightCancelMulstatement and proof · cited by 43
- mul_right_cancelproof · cited by 14
Cited by1
Results whose statement or proof uses this declaration.
- CommMagma.IsRightCancelMul.toIsCancelMulproof · cited by 0