Theorems · Theorem · ring theory
right_distrib
∀ {R : Type v} [inst : Mul R] [inst_1 : Add R] [RightDistribClass R] (a b c : R), (a + b) * c = a * c + b * c- Defined in
- Mathlib.Algebra.Ring.Defs
- Cited by
- 26 results in Mathlib
- Foundations
- Depth 5 from the axioms · uses no axioms
- Assumes
- MulAddRightDistribClass
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites2
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- RightDistribClassstatement and proof · cited by 11
- RightDistribClass.right_distribproof · cited by 2
Cited by26
Results whose statement or proof uses this declaration.
- add_mulproof · cited by 363
- two_mulproof · cited by 232
- ENNReal.add_divproof · cited by 10
- add_div_eq_mul_add_divproof · cited by 3
- Padic.exi_rat_seq_convproof · cited by 2
- SemiconjBy.add_leftproof · cited by 2
- Polynomial.separable_C_mul_X_pow_add_C_mul_X_add_Cproof · cited by 2
- AddChar.mulShift_mulproof · cited by 2
- MeasureTheory.Measure.add_prodproof · cited by 2
- SemiconjBy.add_rightproof · cited by 2
- Zsqrtd.nonneg_mul_lemproof · cited by 1
- Rat.fract_inv_num_lt_num_of_posproof · cited by 1