Theorems · Theorem · dynamical systems
Flow.map_add
∀ {τ : Type u_1} {α : Type u_2} [inst : TopologicalSpace τ] [inst_1 : TopologicalSpace α] [inst_2 : AddZero τ]
(ϕ : Flow τ α) (t₁ t₂ : τ) (x : α), ϕ.toFun (t₁ + t₂) x = ϕ.toFun t₁ (ϕ.toFun t₂ x)- Defined in
- Mathlib.Dynamics.Flow
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 5 from the axioms · uses no axioms
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
- AddZerostatement and proof · cited by 87
- Flowstatement and proof · cited by 46
- Flow.toFunstatement · cited by 34
- Flow.map_add'proof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- Flow.isInvariant_omegaLimitproof · cited by 1