Theorems · Theorem · field theory
one_add_div
∀ {K : Type u_1} [inst : DivisionSemiring K] {a b : K}, b ≠ 0 → 1 + a / b = (b + a) / b- Defined in
- Mathlib.Algebra.Field.Basic
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 27 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- DivisionSemiring
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites2
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DivisionSemiringstatement and proof · cited by 216
- same_add_divproof · cited by 1
Cited by4
Results whose statement or proof uses this declaration.
- UpperHalfPlane.cosh_half_distproof · cited by 3
- Real.cos_pi_div_sixproof · cited by 3
- Real.tendsto_log_comp_add_sub_logproof · cited by 3
- Real.arcsin_eq_arctanproof · cited by 0