Theorems · Theorem · commutative algebra
lcm_units_coe_right
∀ {α : Type u_1} [inst : CommMonoidWithZero α] [inst_1 : NormalizedGCDMonoid α] (a : α) (u : αˣ), lcm a ↑u = normalize a- Defined in
- Mathlib.Algebra.GCDMonoid.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 21 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Unitsstatement and proof · cited by 2,804
- Units.valstatement and proof · cited by 1,966
- CommMonoidWithZerostatement and proof · cited by 913
- NormalizedGCDMonoidstatement and proof · cited by 159
- normalizestatement · cited by 137
- GCDMonoid.lcmstatement · cited by 78
- lcm_units_coe_leftproof · cited by 3
- lcm_commproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- lcm_one_rightproof · cited by 1