Theorems · Definition · dynamical systems
Flow.fromIter
{α : Type u_2} → [inst : TopologicalSpace α] → {g : α → α} → Continuous g → Flow ℕ αIterations of a continuous function from a topological space α
to itself defines a semiflow by ℕ on α.
- Defined in
- Mathlib.Dynamics.Flow
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 75 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- TopologicalSpace
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- TopologicalSpacestatement and proof · cited by 24,529
- Continuousstatement and proof · cited by 2,592
- Nat.iterateproof · cited by 740
- Flowstatement · cited by 46
- Function.iterate_add_applyproof · cited by 24
Cited by1
Results whose statement or proof uses this declaration.
- Flow.fromIter_applystatement · cited by 0