Mathlib Map

Theorems · Inductive type · ring theory

Distrib

Type u_1 → Type u_1

A typeclass stating that multiplication is left and right distributive over addition.

Defined in
Mathlib.Algebra.Ring.Defs
Cited by
31 results in Mathlib
Foundations
Depth 0 from the axioms · uses no axioms
Mathlib docsSourceLoogleLeanSearch

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Commute.add_left · cited by 9Commute.add_leftSubfield.relrank_eq_rank_of_le · cited by 7Subfield.relrank_eq_rank_…Commute.add_right · cited by 5Commute.add_rightSubfield.relrank_eq_of_inf_eq · cited by 4Subfield.relrank_eq_of_in…AddHom.mulLeft · cited by 2AddHom.mulLeftSemiconjBy.add_left · cited by 2SemiconjBy.add_leftSemiconjBy.add_right · cited by 2SemiconjBy.add_rightle_mul_tsub · cited by 1le_mul_tsubAddHom.mulRight · cited by 1AddHom.mulRightHolor.mul_left_distrib · cited by 1Holor.mul_left_distribDistrib.casesOn · cited by 1Distrib.casesOnDistrib.ext · cited by 1Distrib.extNonUnitalRing.toNonUnitalNonAssocring_injective · cited by 0NonUnitalRing.toNonUnital…Function.Surjective.distrib · cited by 0Surjective.distribFilter.add_mul_subset · cited by 0Filter.add_mul_subsetDistribCITED BYCITES

Cites0

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Nothing in Mathlib beyond the foundations.

Cited by43

Results whose statement or proof uses this declaration.