Theorems · Theorem · ring theory
sub_one_mul
∀ {α : Type u} [inst : NonAssocRing α] (a b : α), (a - 1) * b = a * b - b- Defined in
- Mathlib.Algebra.Ring.Defs
- Cited by
- 7 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 by7
Results whose statement or proof uses this declaration.
- Int.ceil_lt_mulproof · cited by 2
- norm_commutator_units_sub_one_leproof · cited by 2
- Nat.ceil_lt_mulproof · cited by 2
- Affine.Simplex.midpoint_faceOppositeCentroid_eulerPointproof · cited by 1
- Behrend.ceil_lt_mulproof · cited by 1
- IsPrimitiveRoot.argproof · cited by 0
- bernoulliFun_eval_halfproof · cited by 0