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Theorems · Theorem · commutative algebra

dvd_add_right

∀ {α : Type u_1} [inst : NonUnitalRing α] {a b c : α}, a ∣ b → (a ∣ b + c ↔ a ∣ c)

If an element a divides another element b in a ring, a divides the sum of b and another element c iff a divides c.

Defined in
Mathlib.Algebra.Ring.Divisibility.Basic
Cited by
5 results in Mathlib
Foundations
Depth 21 from the axioms · uses propext, Quot.sound
Assumes
NonUnitalRing

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