Theorems · Theorem · ring theory
mul_one_add
∀ {α : Type u} [inst : Add α] [inst_1 : MulOneClass α] [LeftDistribClass α] (a b : α), a * (1 + b) = a + a * b- Defined in
- Mathlib.Algebra.Ring.Defs
- Cited by
- 6 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.
- mul_oneproof · cited by 3,885
- MulOneClassstatement and proof · cited by 1,018
- mul_addproof · cited by 413
- LeftDistribClassstatement and proof · cited by 12
Cited by6
Results whose statement or proof uses this declaration.
- Ordinal.add_eq_right_iff_mul_omega0_leproof · cited by 2
- uniform_continuous_npow_on_boundedproof · cited by 1
- Ordinal.sub_omega0_opow_log_ltproof · cited by 1
- one_sub_le_one_sub_mul_one_addproof · cited by 0
- one_add_le_one_sub_mul_one_addproof · cited by 0
- Ordinal.nfp_add_eq_mul_omega0proof · cited by 0