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Theorems · Definition · commutative algebra

IsAddRightRegular

{R : Type u_1} → [Add R] → R → Prop

An add-right-regular element is an element c such that addition on the right by c is injective.

Defined in
Mathlib.Algebra.Regular.Defs
Cited by
55 results in Mathlib
Foundations
Depth 4 from the axioms · uses no axioms
Assumes
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Around this declaration

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

isAddRegular_iff · cited by 7isAddRegular_iffIsAddRegular.right · cited by 7IsAddRegular.rightIsAddRightRegular.all · cited by 5IsAddRightRegular.allIsAddRightRegular.of_add · cited by 5IsAddRightRegular.of_addisAddLeftRegular_op · cited by 4isAddLeftRegular_opisAddRightRegular_op · cited by 3isAddRightRegular_opIsAddRightRegular.nsmul · cited by 3IsAddRightRegular.nsmulIsAddRightRegular.withTop · cited by 3IsAddRightRegular.withTopIsAddLeftRegular.right_of_addCommute · cited by 2IsAddLeftRegular.right_of…isAddRegular_op · cited by 2isAddRegular_opisAddRightRegular_of_add_eq_zero · cited by 2isAddRightRegular_of_add_…ULift.isAddRightRegular_up · cited by 2ULift.isAddRightRegular_upIsAddRightRegular.add · cited by 2IsAddRightRegular.addIsAddRightRegular.withBot · cited by 2IsAddRightRegular.withBotProd.isAddRightRegular_mk · cited by 2Prod.isAddRightRegular_mkIsAddRightRegularCITED BYCITES

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Cited by59

Results whose statement or proof uses this declaration.