Theorems · Theorem · group theory
sub_eq_sub_iff_sub_eq_sub
∀ {G : Type u_3} [inst : AddCommGroup G] {a b c d : G}, a - b = c - d ↔ a - c = b - d- Defined in
- Mathlib.Algebra.Group.Basic
- Cited by
- 2 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.
Cites5
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
- add_sub_assocproof · cited by 72
- sub_eq_iff_eq_add'proof · cited by 33
- sub_add_eq_add_subproof · cited by 29
Cited by2
Results whose statement or proof uses this declaration.
- Int.fract_eq_fractproof · cited by 0