Theorems · Theorem · dynamical systems
Flow.isSemiconjugacy_id_iff_eq
∀ {τ : Type u_1} {α : Type u_2} [inst : TopologicalSpace τ] [inst_1 : TopologicalSpace α] [inst_2 : AddMonoid τ]
(ϕ ψ : Flow τ α), Flow.IsSemiconjugacy id ϕ ψ ↔ ϕ = ψThe identity is a semiconjugacy from ϕ to ψ if and only if ϕ and ψ are equal.
- Defined in
- Mathlib.Dynamics.Flow
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 71 from the axioms · uses propext, Classical.choice, Quot.sound
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.
- TopologicalSpacestatement and proof · cited by 24,529
- AddMonoidstatement and proof · cited by 2,864
- continuous_idproof · cited by 192
- Flowstatement and proof · cited by 46
- Flow.IsSemiconjugacystatement and proof · cited by 7
- Function.Semiconj.id_leftproof · cited by 3
- Flow.IsSemiconjugacy.semiconjproof · cited by 2
- Flow.extproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- Flow.IsFactorOf.selfproof · cited by 0