(X : E →L[ℂ] E) : numRange X ⊆ Metric.closedBall (0 : ℂ) ‖X‖
ProvedBookProof.ChapterH9.numRange_subset_closedBalltimepiece
Lean 4 theorem BookProof.ChapterH9.numRange_subset_closedBall (module BookProof.ChapterH9), source chapter BookProof/ChapterChapterH9.lean.
Preamble
-- Generated from ChapterH9.lean — theorem BookProof.ChapterH9.numRange_subset_closedBall
import Mathlib
import Definitions.Def_ChapterH9
open BookProof.ChapterH9
variable {E : Type*}
[NormedAddCommGroup E] [InnerProductSpace ℂ E]
set_option maxHeartbeats 1000000 inFormal statement
theorem BookProof.ChapterH9.numRange_subset_closedBall (X : E →L[ℂ] E) :
numRange X ⊆ Metric.closedBall (0 : ℂ) ‖X‖ := by sorrySource