Theorems · Theorem · commutative algebra
Ring.ord_mul_of_isUnit_right
∀ {R : Type u_1} [inst : CommRing R] {a : R}, IsUnit a → ∀ (x : R), Ring.ord R (x * a) = Ring.ord R x- Cited by
- 1 results in Mathlib
- Foundations
- Depth 85 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommRing
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CommRingstatement and proof · cited by 17,173
- ENatstatement and proof · cited by 4,985
- Idealproof · cited by 4,748
- HasQuotient.Quotientproof · cited by 2,301
- IsUnitstatement and proof · cited by 1,602
- Ideal.spanproof · cited by 948
- Module.lengthproof · cited by 56
- Ring.ordstatement and proof · cited by 28
- Ideal.span_singleton_mul_right_unitproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- Ring.ord_eq_of_associatedproof · cited by 1