Theorems · Theorem · group theory
eq_iff_eq_of_add_eq_add
∀ {α : Type u_1} [inst : AddCancelCommMonoid α] {a b c d : α}, a + b = c + d → (a = c ↔ b = d)- Defined in
- Mathlib.Algebra.Group.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 10 from the axioms · uses propext
- Assumes
- AddCancelCommMonoid
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.
- add_right_injproof · cited by 71
- AddCancelCommMonoidstatement and proof · cited by 48
- add_left_injproof · cited by 36
Cited by1
Results whose statement or proof uses this declaration.
- Finset.sum_sdiff_eq_sum_sdiff_iffproof · cited by 2