OAI/Analysis/LipschitzHilbert/Geometry/RectangleLastSelected.lean
2 declarations, 0 contain sorry, 0 declared as axioms
A finite subfamily of a selection run has a last member. All the other members were present in its actual previous set.
- theorem
OAI.LipschitzHilbert.RectangleCoverRun.last_selected_witnessline 14 - theorem
OAI.LipschitzHilbert.RectangleCoverRun.selected_previous_witnessline 48Source documentation
Every strictly longer selected rectangle precedes the specified member and belongs to the previous set at its selection.
theorem selected_previous_witness (h : RectangleCoverRun R blocked previous stock selected) (r : ι) (hr : r ∈ selected) : ∃ p : Finset ι, previous ⊆ p ∧ (∀ j ∈ selected, (R r).long < (R j).long → j ∈ p) ∧ ¬blocked p r := by …Mentions: OAI.LipschitzHilbert.RectangleCoverRun