Rel Mfld Ample satisfies HPrinciple With
RelMfld.Ample.satisfiesHPrincipleWith
Plain-language statement
Gromov's Theorem
Exact Lean statement
theorem RelMfld.Ample.satisfiesHPrincipleWith (hRample : R.Ample) (hRopen : IsOpen R)
(hC : IsClosed C) (hδ_pos : ∀ x, 0 < δ x) (hδ_cont : Continuous δ) :
R.SatisfiesHPrincipleWith IP C δFormal artifact
Lean source
theorem RelMfld.Ample.satisfiesHPrincipleWith (hRample : R.Ample) (hRopen : IsOpen R) (hC : IsClosed C) (hδ_pos : ∀ x, 0 < δ x) (hδ_cont : Continuous δ) : R.SatisfiesHPrincipleWith IP C δ := by have hδ_pos' : ∀ x : P × M, 0 < δ x.2 := fun x : P × M ↦ hδ_pos x.snd have hδ_cont' : Continuous fun x : P × M ↦ δ x.2 := hδ_cont.comp continuous_snd have is_op : IsOpen (RelMfld.relativize IP P R) := R.isOpen_relativize hRopen apply RelMfld.SatisfiesHPrinciple.satisfiesHPrincipleWith exact (hRample.relativize IP P).satisfiesHPrinciple is_op hC hδ_pos' hδ_cont'- Project
- Sphere eversion
- License
- Apache-2.0
- Commit
- ded8fda5e76b
- Source
- SphereEversion/Global/Gromov.lean:190-197
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Source project: Sphere eversion
Person-level attribution pending.