Theorems · Theorem · field theory
one_div_add_one_div
∀ {K : Type u_1} [inst : Semifield K] {a b : K}, a ≠ 0 → b ≠ 0 → 1 / a + 1 / b = (a + b) / (a * b)- Defined in
- Mathlib.Algebra.Field.Basic
- Cited by
- 1 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.one_div_add_one_divproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- cotTerm_identityproof · cited by 1