Theorems · Theorem · commutative algebra
GCDMonoid.lcm_zero_right
∀ {α : Type u_2} {inst : CommMonoidWithZero α} [self : GCDMonoid α] (a : α), lcm a 0 = 00 is right-absorbing.
- Defined in
- Mathlib.Algebra.GCDMonoid.Basic
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 6 from the axioms · uses no axioms
- Assumes
- GCDMonoid
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CommMonoidWithZerostatement and proof · cited by 913
- GCDMonoidstatement and proof · cited by 96
- GCDMonoid.lcmstatement · cited by 78
Cited by2
Results whose statement or proof uses this declaration.
- lcm_dvd_iffproof · cited by 6
- lcm_eq_zero_iffproof · cited by 0