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Theorems · Theorem · dynamical systems

Flow.map_zero

∀ {τ : Type u_1} {α : Type u_2} [inst : TopologicalSpace τ] [inst_1 : TopologicalSpace α] [inst_2 : AddZero τ]
  (ϕ : Flow τ α), ϕ.toFun 0 = id
Defined in
Mathlib.Dynamics.Flow
Cited by
2 results in Mathlib
Foundations
Depth 5 from the axioms · uses Quot.sound
Assumes
TopologicalSpaceTopologicalSpaceAddZero
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Around this declaration

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

Flow.isInvariant_iff_image_eq · cited by 0Flow.isInvariant_iff_imag…Flow.omegaLimit_image_eq · cited by 0Flow.omegaLimit_image_eqTopologicalSpace · cited by 24529TopologicalSpaceAddZero · cited by 87AddZeroFlow · cited by 46FlowFlow.toFun · cited by 34Flow.toFunFlow.map_zero' · cited by 2Flow.map_zero'Flow.map_zeroCITED BYCITES

Cites5

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Cited by2

Results whose statement or proof uses this declaration.