Theorems · Theorem · commutative algebra
dvd_sub_self_left
∀ {α : Type u_1} [inst : Ring α] {a b : α}, a ∣ a - b ↔ a ∣ bAn element a divides the difference a - b if and only if a divides b.
- Defined in
- Mathlib.Algebra.Ring.Divisibility.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 23 from the axioms · uses propext, Quot.sound
- Assumes
- Ring
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- Ringstatement and proof · cited by 7,463
- dvd_rflproof · cited by 80
- dvd_sub_rightproof · cited by 1
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