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Theorems · Theorem · group theory

IsAddUnit.of_add_eq_zero_right

∀ {M : Type u_1} [inst : AddMonoid M] [IsDedekindFiniteAddMonoid M] {b : M} (a : M), a + b = 0 → IsAddUnit b
Defined in
Mathlib.Algebra.Group.Units.Defs
Cited by
1 results in Mathlib
Foundations
Depth 9 from the axioms · uses no axioms
Assumes
AddMonoidIsDedekindFiniteAddMonoid
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Around this declaration

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isAddUnit_iff_exists_neg' · cited by 1isAddUnit_iff_exists_neg'AddMonoid · cited by 2864AddMonoidIsAddUnit · cited by 215IsAddUnitIsDedekindFiniteAddMonoid · cited by 18IsDedekindFiniteAddMonoidIsDedekindFiniteAddMonoid.add_eq_zero_symm · cited by 4IsDedekindFiniteAddMonoid…IsAddUnit.of_add_eq_zero · cited by 3IsAddUnit.of_add_eq_zeroIsAddUnit.of_add_eq_zero_rightCITED BYCITES

Cites5

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Cited by1

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