Theorems · Definition · algebraic topology

Topology.RelCWComplex.FiniteDimensional.recOn

{X : Type u} →
  [inst : TopologicalSpace X] →
    {C D : Set X} →
      [inst_1 : Topology.RelCWComplex C D] →
        {motive : Topology.RelCWComplex.FiniteDimensional C → Sort u_1} →
          (t : Topology.RelCWComplex.FiniteDimensional C) →
            ((eventually_isEmpty_cell : ∀ᶠ (n : ℕ) in Filter.atTop, IsEmpty (Topology.RelCWComplex.cell C n)) →
                motive ⋯) →
              motive t

Defined in: Mathlib.Topology.CWComplex.Classical.Finite
Cited by: 0 results in Mathlib
Foundations: Depth 23 from the axioms · uses propext, Quot.sound
Assumes: TopologicalSpace Topology.RelCWComplex

Mathlib docs Source Loogle LeanSearch

Around this declaration

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

Cites8

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

Setstatement and proof · cited by 53,352
TopologicalSpacestatement and proof · cited by 24,529
Filter.Eventuallystatement and proof · cited by 3,134
Filter.atTopstatement and proof · cited by 2,405
IsEmptystatement and proof · cited by 759
Topology.RelCWComplexstatement and proof · cited by 195
Topology.RelCWComplex.cellstatement and proof · cited by 194
Topology.RelCWComplex.FiniteDimensionalstatement and proof · cited by 5

Cited by0

Results whose statement or proof uses this declaration.

Nothing cites this yet.