Theorems · Theorem · group theory
Commute.div_left
∀ {G₀ : Type u_2} [inst : GroupWithZero G₀] {a b c : G₀}, Commute a c → Commute b c → Commute (a / b) c- Defined in
- Mathlib.Algebra.GroupWithZero.Commute
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 22 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.
- div_eq_mul_invproof · cited by 715
- GroupWithZerostatement and proof · cited by 691
- Commutestatement and proof · cited by 639
- Commute.mul_leftproof · cited by 5
- Commute.inv_left₀proof · cited by 4
Cited by2
Results whose statement or proof uses this declaration.
- NNRat.cast_commuteproof · cited by 2
- Rat.cast_commuteproof · cited by 2