Theorems · Theorem · group theory
div_eq_of_eq_mul
∀ {G₀ : Type u_3} [inst : GroupWithZero G₀] {a b c : G₀}, b ≠ 0 → a = c * b → a / b = c- Cited by
- 1 results in Mathlib
- Foundations
- Depth 25 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- GroupWithZero
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- GroupWithZerostatement and proof · cited by 691
- Ne.isUnitproof · cited by 99
- IsUnit.div_eq_of_eq_mulproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- ArithmeticFunction.IsMultiplicative.map_div_of_coprimeproof · cited by 1