Theorems · Theorem · field theory
add_div
∀ {K : Type u_1} [inst : DivisionSemiring K] (a b c : K), (a + b) / c = a / c + b / c- Defined in
- Mathlib.Algebra.Field.Basic
- Cited by
- 89 results in Mathlib
- Foundations
- Depth 12 from the axioms · uses propext
- Assumes
- DivisionSemiring
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.
- div_eq_mul_invproof · cited by 715
- add_mulproof · cited by 363
- DivisionSemiringstatement and proof · cited by 216
Cited by89
Results whose statement or proof uses this declaration.
- add_halvesproof · cited by 78
- Real.sin_piproof · cited by 14
- div_sub_div_sameproof · cited by 11
- Real.Icc_eq_closedBallproof · cited by 6
- add_div'proof · cited by 5
- Complex.tan_addproof · cited by 5
- Commute.div_add_divproof · cited by 5
- BoxIntegral.unitPartition.tag_memproof · cited by 4
- ProbabilityTheory.IndepFun.hasGaussianLawproof · cited by 4
- LSeries.term_addproof · cited by 4
- Icc_subset_segmentproof · cited by 3
- ProbabilityTheory.HasGaussianLaw.indepFun_of_covariance_strongDualproof · cited by 3