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Theorems · Theorem · commutative algebra

IsAddRegular.left

∀ {R : Type u_2} [inst : Add R] {c : R}, IsAddRegular c → IsAddLeftRegular c

An add-regular element c is left-regular

Defined in
Mathlib.Algebra.Regular.Defs
Cited by
8 results in Mathlib
Foundations
Depth 5 from the axioms · uses no axioms
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Around this declaration

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

add_right_injective_of_ne_top · cited by 3add_right_injective_of_ne…AddCommute.isAddRegular_iff · cited by 3AddCommute.isAddRegular_i…isAddRegular_add_and_add_iff · cited by 2isAddRegular_add_and_add_…isAddLeftRegular_of_add_eq_zero · cited by 2isAddLeftRegular_of_add_e…AddSubmonoid.LocalizationMap.map_isAddRegular · cited by 1LocalizationMap.map_isAdd…IsAddRegular.add · cited by 1IsAddRegular.addIsAddRegular.nsmul · cited by 0IsAddRegular.nsmulIsAddRegular.nsmul_iff · cited by 0IsAddRegular.nsmul_iffIsAddLeftRegular · cited by 58IsAddLeftRegularIsAddRegular · cited by 43IsAddRegularIsAddRegular.leftCITED BYCITES

Cites2

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Cited by8

Results whose statement or proof uses this declaration.