Theorems · Theorem · commutative algebra

IsModuleFiltration.mk_int

∀ {R : Type u_3} {M : Type u_4} {σ : Type u_5} {σM : Type u_6} [inst : Preorder σ] [inst_1 : Semiring R]
  [inst_2 : SetLike σ R] [inst_3 : Preorder σM] [inst_4 : AddCommMonoid M] [inst_5 : Module R M] [inst_6 : SetLike σM M]
  (F : ℤ → σ) (mono : Monotone F) [inst_7 : SetLike.GradedMonoid F] (F' : ℤ → σM),
  Monotone F' → ∀ [SetLike.GradedSMul F F'], IsModuleFiltration F (fun n => F (n - 1)) F' fun n => F' (n - 1)

A convenience constructor for IsModuleFiltration when the index is the integers.

Defined in

Mathlib.RingTheory.FilteredAlgebra.Basic

Cited by

0 results in Mathlib

Foundations

Depth 51 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

PreorderSemiringSetLikePreorderAddCommMonoidModuleSetLikeSetLike.GradedMonoidSetLike.GradedSMul