Theorems · Theorem · group theory
Commute.mul_div_mul_comm
∀ {G : Type u_1} [inst : DivisionMonoid G] {a b c d : G},
Commute c d → Commute b c⁻¹ → a * b / (c * d) = a / c * (b / d)- Defined in
- Mathlib.Algebra.Group.Commute.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 15 from the axioms · uses propext
- Assumes
- DivisionMonoid
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Commutestatement and proof · cited by 639
- DivisionMonoidstatement and proof · cited by 201
- Commute.symmproof · cited by 79
- Commute.div_mul_div_commproof · cited by 5
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.