Theorems · Theorem · commutative algebra
nonZeroDivisorsLeft_eq_nonZeroDivisors
∀ {M₀ : Type u_1} [inst : CommMonoidWithZero M₀], nonZeroDivisorsLeft M₀ = nonZeroDivisors M₀- Cited by
- 4 results in Mathlib
- Foundations
- Depth 63 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommMonoidWithZero
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Submonoidstatement and proof · cited by 3,086
- CommMonoidWithZerostatement and proof · cited by 913
- nonZeroDivisorsstatement · cited by 895
- inf_idemproof · cited by 37
- nonZeroDivisorsLeftstatement and proof · cited by 26
- nonZeroDivisorsRightproof · cited by 26
- nonZeroDivisorsLeft_eq_rightproof · cited by 3
Cited by4
Results whose statement or proof uses this declaration.
- nonZeroDivisorsRight_eq_nonZeroDivisorsproof · cited by 3
- MonomialOrder.mem_nonZeroDivisors_of_leadingCoeff_mem_nonZeroDivisorsproof · cited by 1
- Localization.cardinalMkproof · cited by 1
- mem_nonZeroDivisors_iff_leftproof · cited by 1