Theorems · Theorem · ring theory
one_add_mul
∀ {α : Type u} [inst : Add α] [inst_1 : MulOneClass α] [RightDistribClass α] (a b : α), (1 + a) * b = b + a * 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.
- Int.sub_floor_div_mul_ltproof · cited by 4
- Finset.norm_prod_one_add_sub_one_leproof · cited by 1
- one_sub_le_one_add_mul_one_subproof · cited by 0
- Language.self_eq_mul_add_iffproof · cited by 0
- one_add_le_one_add_mul_one_subproof · cited by 0