Theorems · Theorem · group theory
mul_eq_zero_of_right
∀ {M₀ : Type u_1} [inst : MulZeroClass M₀] (a : M₀) {b : M₀}, b = 0 → a * b = 0- Defined in
- Mathlib.Algebra.GroupWithZero.Defs
- Cited by
- 16 results in Mathlib
- Foundations
- Depth 5 from the axioms · uses no axioms
- Assumes
- MulZeroClass
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites2
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- MulZeroClass.mul_zeroproof · cited by 2,091
- MulZeroClassstatement and proof · cited by 232
Cited by16
Results whose statement or proof uses this declaration.
- mul_eq_zeroproof · cited by 94
- right_ne_zero_of_mulproof · cited by 38
- Units.mul_right_eq_zeroproof · cited by 4
- WeierstrassCurve.Projective.Point.toAffine_smulproof · cited by 3
- Module.Basis.SmithNormalForm.repr_apply_embedding_eq_repr_smulproof · cited by 3
- WeierstrassCurve.Jacobian.Point.toAffine_smulproof · cited by 3
- tendsto_mul_prod_nhds_zero_of_disjoint_cocompactproof · cited by 2
- MvPowerSeries.coeff_eq_zero_of_constantCoeff_nilpotentproof · cited by 2
- PowerSeries.coeff_mul_of_lt_orderproof · cited by 2
- bernsteinPolynomial.iterate_derivative_at_0_eq_zero_of_ltproof · cited by 2
- LinearMap.BilinForm.not_linearIndependent_of_apply_mul_apply_eqproof · cited by 1
- MvPolynomial.killCompl_monomial_eq_zero_of_notMem_rangeproof · cited by 1