Theorems · Theorem · commutative algebra
min_pow_dvd_add
∀ {α : Type u_1} [inst : Semiring α] {a b c : α} {m n : ℕ}, c ^ m ∣ a → c ^ n ∣ b → c ^ min m n ∣ a + b- Defined in
- Mathlib.Algebra.Ring.Divisibility.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 19 from the axioms · uses propext
- Assumes
- Semiring
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Semiringstatement and proof · cited by 13,802
- Dvd.dvd.transproof · cited by 148
- pow_dvd_powproof · cited by 56
- Dvd.dvd.addproof · cited by 4
Cited by1
Results whose statement or proof uses this declaration.
- Polynomial.rootMultiplicity_addproof · cited by 0