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Theorems · Theorem · group theory

IsAddUnit.add_right_injective

∀ {M : Type u_1} [inst : AddMonoid M] {a : M}, IsAddUnit a → Function.Injective fun x => a + x
Defined in
Mathlib.Algebra.Group.Units.Basic
Cited by
1 results in Mathlib
Foundations
Depth 13 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.isAddUnit_iff_addLeft_bijective · cited by 0IsAddUnit.isAddUnit_iff_a…AddMonoid · cited by 2864AddMonoidIsAddUnit · cited by 215IsAddUnitIsAddUnit.add_left_cancel · cited by 1IsAddUnit.add_left_cancelIsAddUnit.add_right_injectiveCITED BYCITES

Cites3

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Cited by1

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