A strict square-root bound
ProvedWorkbookSource.problem_24413lean-workbooksource-checked
basically we want x>point of equality, since after the point of equality, the difference between 2x and sqrtx grow exponentially (2x is always bigger after point of equality). the 2 points of equality of are and 0. so we take x>the larger of the 2, or
Source: InternLM Lean-Workbook, record lean_workbook_24413 (Apache-2.0). The complete source proposition and explicit variable declarations are preserved.
Preamble
import Mathlib open Real Nat
Formal statement
theorem WorkbookSource.problem_24413 : ∀ x > 1/4, Real.sqrt x < 2 * x := by sorry
Source