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Theorems · Theorem · group theory

IsAddUnit.add_left_cancel

∀ {M : Type u_1} [inst : AddMonoid M] {a b c : M}, IsAddUnit a → a + b = a + c → b = c
Defined in
Mathlib.Algebra.Group.Units.Basic
Cited by
1 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_right_injective · cited by 1IsAddUnit.add_right_injec…AddMonoid · cited by 2864AddMonoidIsAddUnit · cited by 215IsAddUnitIsAddUnit.add_right_inj · cited by 7IsAddUnit.add_right_injIsAddUnit.add_left_cancelCITED BYCITES

Cites3

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Cited by1

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