Theorems · Theorem · commutative algebra
dvd_add_self_left
∀ {α : Type u_1} [inst : Ring α] {a b : α}, a ∣ a + b ↔ a ∣ bAn element a divides the sum a + b if and only if a divides b.
- Defined in
- Mathlib.Algebra.Ring.Divisibility.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 22 from the axioms · uses propext, Quot.sound
- Assumes
- Ring
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- Ringstatement and proof · cited by 7,463
- dvd_reflproof · cited by 97
- dvd_add_rightproof · cited by 5
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