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Theorems · Theorem · group theory

IsRightRegular.all

∀ {R : Type u_2} [inst : Mul R] [IsRightCancelMul R] (g : R), IsRightRegular g

If all multiplications cancel on the right then every element is right-regular.

Defined in
Mathlib.Algebra.Group.Defs
Cited by
3 results in Mathlib
Foundations
Depth 9 from the axioms · uses no axioms
Assumes
MulIsRightCancelMul
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Around this declaration

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

MonoidAlgebra.support_coeff_mul_single · cited by 1MonoidAlgebra.support_coe…SkewMonoidAlgebra.support_mul_single · cited by 0SkewMonoidAlgebra.support…IsRegular.all · cited by 0IsRegular.allIsRightRegular · cited by 93IsRightRegularIsRightCancelMul · cited by 43IsRightCancelMulisRightCancelMul_iff · cited by 2isRightCancelMul_iffIsRightRegular.allCITED BYCITES

Cites3

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Cited by3

Results whose statement or proof uses this declaration.