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Theorems · Theorem · group theory

IsAddUnit.add_right_cancel

∀ {M : Type u_1} [inst : AddMonoid M] {a b c : M}, IsAddUnit b → a + b = c + b → a = c
Defined in
Mathlib.Algebra.Group.Units.Basic
Cited by
2 results in Mathlib
Foundations
Depth 12 from the axioms · uses no axioms
Assumes
AddMonoid
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

IsAddUnit.add_left_injective · cited by 1IsAddUnit.add_left_inject…AddSubmonoid.LocalizationMap.map_injective_of_surjOn_or_injective · cited by 1LocalizationMap.map_injec…AddMonoid · cited by 2864AddMonoidIsAddUnit · cited by 215IsAddUnitIsAddUnit.add_left_inj · cited by 8IsAddUnit.add_left_injIsAddUnit.add_right_cancelCITED BYCITES

Cites3

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Cited by2

Results whose statement or proof uses this declaration.