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Theorems · Definition · category theory

ModuleCat.of

(R : Type u) → [inst : Ring R] → (X : Type v) → [inst_1 : AddCommGroup X] → [Module R X] → ModuleCat R

The object in the category of R-algebras associated to a type equipped with the appropriate typeclasses. This is the preferred way to construct a term of ModuleCat R.

Defined in
Mathlib.Algebra.Category.ModuleCat.Basic
Cited by
594 results in Mathlib
Foundations
Depth 7 from the axioms, rests on 25 definitions · uses no axioms
Assumes
RingAddCommGroupModule

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.

  • Modulestatement and proof · cited by 20,661
  • AddCommGroupstatement and proof · cited by 12,871
  • Ringstatement and proof · cited by 7,463
  • ModuleCatstatement · cited by 1,429

Cited by745

Results whose statement or proof uses this declaration.

Showing the 200 most cited of 745.