Theorems · Theorem · field theory
inv_sub_inv
∀ {K : Type u_1} [inst : Field K] {a b : K}, a ≠ 0 → b ≠ 0 → a⁻¹ - b⁻¹ = (b - a) / (a * b)- Defined in
- Mathlib.Algebra.Field.Basic
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 47 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Field
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.
- Fieldstatement and proof · cited by 7,404
- mul_oneproof · cited by 3,885
- one_mulproof · cited by 2,841
- inv_eq_one_divproof · cited by 33
- div_sub_divproof · cited by 8
Cited by2
Results whose statement or proof uses this declaration.
- AkraBazziRecurrence.isEquivalent_smoothingFn_sub_selfproof · cited by 1