Theorems · Theorem · ring theory
one_sub_mul
∀ {α : Type u} [inst : NonAssocRing α] (a b : α), (1 - a) * b = b - a * b- Defined in
- Mathlib.Algebra.Ring.Defs
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 18 from the axioms · uses no axioms
- Assumes
- NonAssocRing
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.
- one_mulproof · cited by 2,841
- NonAssocRingstatement and proof · cited by 483
- sub_mulproof · cited by 170
Cited by5
Results whose statement or proof uses this declaration.
- Nat.mul_lt_floorproof · cited by 1
- ProbabilityTheory.condVar_of_ae_eq_zero_or_oneproof · cited by 1
- Int.mul_lt_floorproof · 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