Theorems · Theorem · field theory
div_add_div
∀ {K : Type u_1} [inst : Semifield K] {b d : K} (a c : K), b ≠ 0 → d ≠ 0 → a / b + c / d = (a * d + b * c) / (b * d)- Defined in
- Mathlib.Algebra.Field.Basic
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 45 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Semifield
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.
- Semifieldstatement and proof · cited by 439
- Commute.allproof · cited by 119
- Commute.div_add_divproof · cited by 5
Cited by4
Results whose statement or proof uses this declaration.
- RatFunc.num_denom_addproof · cited by 3
- RatFunc.denom_add_dvdproof · cited by 1
- LiouvilleNumber.partialSum_eq_ratproof · cited by 1
- RatFunc.eval_addproof · cited by 0