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Theorems · Theorem · group theory

eq_of_neg_add_eq_zero

∀ {α : Type u_1} [inst : SubtractionMonoid α] {a b : α}, -a + b = 0 → a = b
Defined in
Mathlib.Algebra.Group.Basic
Cited by
1 results in Mathlib
Foundations
Depth 9 from the axioms · uses propext
Assumes
SubtractionMonoid
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Around this declaration

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AddGroup.exists_finiteIndexNormalAddSubgroup_of_residuallyFinite · cited by 0AddGroup.exists_finiteInd…SubtractionMonoid · cited by 208SubtractionMonoidneg_inj · cited by 85neg_injeq_neg_of_add_eq_zero_left · cited by 21eq_neg_of_add_eq_zero_lefteq_of_neg_add_eq_zeroCITED BYCITES

Cites3

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Cited by1

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