Theorems · Theorem · commutative algebra
StrongNormalizationMonoid.normUnit_mul
∀ {α : Type u_2} {inst : CommMonoidWithZero α} [self : StrongNormalizationMonoid α] {a b : α},
a ≠ 0 → b ≠ 0 → normUnit (a * b) = normUnit a * normUnit bThe proposition that normUnit respects multiplication of non-zero elements.
- Defined in
- Mathlib.Algebra.GCDMonoid.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 9 from the axioms · uses no axioms
- Assumes
- StrongNormalizationMonoid
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Unitsstatement · cited by 2,804
- CommMonoidWithZerostatement and proof · cited by 913
- NormalizationMonoid.normUnitstatement · cited by 33
- StrongNormalizationMonoidstatement and proof · cited by 10
Cited by1
Results whose statement or proof uses this declaration.
- normalize_mulproof · cited by 4