Theorems · Theorem · group theory
ne_iff_ne_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
- 0 results in Mathlib
- Foundations
- Depth 10 from the axioms · uses propext
- Assumes
- AddCancelCommMonoid
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- add_right_injproof · cited by 71
- AddCancelCommMonoidstatement and proof · cited by 48
- add_left_injproof · cited by 36
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