Theorems · Theorem · commutative algebra
Multiset.gcd_ndinsert
∀ {α : Type u_1} [inst : CommMonoidWithZero α] [inst_1 : NormalizedGCDMonoid α] [inst_2 : DecidableEq α] (a : α)
(s : Multiset α), (Multiset.ndinsert a s).gcd = gcd a s.gcd- Defined in
- Mathlib.Algebra.GCDMonoid.Multiset
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 74 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Multisetstatement and proof · cited by 2,627
- CommMonoidWithZerostatement and proof · cited by 913
- Multiset.consproof · cited by 313
- NormalizedGCDMonoidstatement and proof · cited by 159
- GCDMonoid.gcdstatement and proof · cited by 143
- Multiset.ndinsertstatement and proof · cited by 24
- Multiset.gcdstatement and proof · cited by 21
- Multiset.dedup_extproof · cited by 12
- Multiset.gcd_consproof · cited by 7
- Multiset.gcd_dedupproof · cited by 4
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.