Theorems · Theorem · group theory
sub_eq_iff_comm
∀ {G : Type u_3} [inst : AddCommGroup G] {a b c : G}, a - b = c ↔ a - c = b- Defined in
- Mathlib.Algebra.Group.Basic
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 15 from the axioms · uses propext
- Assumes
- AddCommGroup
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- AddCommGroupstatement and proof · cited by 12,871
- sub_eq_iff_eq_addproof · cited by 74
- sub_eq_iff_eq_add'proof · cited by 33
Cited by3
Results whose statement or proof uses this declaration.
- MeasureTheory.tendsto_integral_Iic_zeroproof · cited by 0
- MeasureTheory.tendsto_integral_Iio_zeroproof · cited by 0
- MeasureTheory.tendsto_integral_Ici_zeroproof · cited by 0