Theorems · Theorem · commutative algebra
Finset.lcm_mono_fun
∀ {α : Type u_2} {β : Type u_3} [inst : CommMonoidWithZero α] [inst_1 : NormalizedGCDMonoid α] {s : Finset β}
{f g : β → α}, (∀ b ∈ s, f b ∣ g b) → s.lcm f ∣ s.lcm g- Defined in
- Mathlib.Algebra.GCDMonoid.Finset
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 56 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Finsetstatement and proof · cited by 13,712
- CommMonoidWithZerostatement and proof · cited by 913
- NormalizedGCDMonoidstatement and proof · cited by 159
- Dvd.dvd.transproof · cited by 148
- Finset.lcmstatement · cited by 37
- Finset.dvd_lcmproof · cited by 10
- Finset.lcm_dvdproof · cited by 7
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