Theorems · Theorem · commutative algebra
lcm_units_coe_left
∀ {α : Type u_1} [inst : CommMonoidWithZero α] [inst_1 : NormalizedGCDMonoid α] (u : αˣ) (a : α),
lcm (↑u) a = normalize a- Defined in
- Mathlib.Algebra.GCDMonoid.Basic
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 20 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
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
- dvd_rflproof · cited by 80
- GCDMonoid.lcmstatement · cited by 78
- dvd_lcm_rightproof · cited by 17
- lcm_dvdproof · cited by 14
- lcm_eq_normalizeproof · cited by 4
- Units.coe_dvdproof · cited by 2
Cited by3
Results whose statement or proof uses this declaration.
- lcm_one_leftproof · cited by 1
- lcm_units_coe_rightproof · cited by 1
- lcm_eq_one_iffproof · cited by 0