Mathlib Map

Theorems · Theorem · commutative algebra

IsFiltration.mk_int

∀ {σ : Type u_3} [inst : Preorder σ] (F : ℤ → σ), Monotone F → IsFiltration F fun n => F (n - 1)

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

Defined in
Mathlib.RingTheory.FilteredAlgebra.Basic
Cited by
2 results in Mathlib
Foundations
Depth 49 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
Preorder
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

IsRingFiltration.mk_int · cited by 1IsRingFiltration.mk_intIsModuleFiltration.mk_int · cited by 0IsModuleFiltration.mk_intPreorder · cited by 7952PreorderMonotone · cited by 1397Monotonesub_one_lt · cited by 8sub_one_ltIsFiltration · cited by 7IsFiltrationIsFiltration.mk_intCITED BYCITES

Cites4

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

Cited by2

Results whose statement or proof uses this declaration.