Theorems · Theorem · ring theory
add_one_mul
∀ {α : Type u} [inst : Add α] [inst_1 : MulOneClass α] [RightDistribClass α] (a b : α), (a + 1) * b = a * b + b- Defined in
- Mathlib.Algebra.Ring.Defs
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 7 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- one_mulproof · cited by 2,841
- MulOneClassstatement and proof · cited by 1,018
- add_mulproof · cited by 363
- RightDistribClassstatement and proof · cited by 11
Cited by5
Results whose statement or proof uses this declaration.
- schnirelmannDensity_setOfPred_mod_eq_oneproof · cited by 3
- Complex.sin_three_mulproof · cited by 1
- add_thirdsproof · cited by 1
- IsLocalRing.length_baseChangeproof · cited by 1
- IsLocalRing.length_restrictScalarsproof · cited by 1