Theorems · Theorem · group theory
mul_div_cancel_of_imp
∀ {G₀ : Type u_3} [inst : GroupWithZero G₀] {a b : G₀}, (b = 0 → a = 0) → a * b / b = a- 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.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- MulZeroClass.mul_zeroproof · cited by 2,091
- eq_or_neproof · cited by 1,117
- GroupWithZerostatement and proof · cited by 691
- div_zeroproof · cited by 251
- IsUnit.mul_div_cancel_rightproof · cited by 4
Cited by1
Results whose statement or proof uses this declaration.
- mul_div_cancel_left_of_impproof · cited by 1