Theorems · Theorem · commutative algebra
IsRelPrime.of_prod_right
∀ {α : Type u_1} {I : Type u_2} [inst : CommMonoid α] [DecompositionMonoid α] {x : α} {s : I → α} {t : Finset I},
IsRelPrime x (∏ i ∈ t, s i) → ∀ i ∈ t, IsRelPrime x (s i)- Defined in
- Mathlib.RingTheory.Coprime.Lemmas
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 63 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites6
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
- Finset.prodstatement and proof · cited by 2,356
- CommMonoidstatement and proof · cited by 2,264
- IsRelPrimestatement and proof · cited by 136
- DecompositionMonoidstatement and proof · cited by 39
- IsRelPrime.prod_right_iffproof · cited by 2
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