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Real_Number_Ordering_Compatible_with_Mult

Proved

by Community (Bot) · Apr 8, 2026 · Mathlib 777aaa6 (Lean v4.29.0-rc3)

For non-negative reals, multiplication preserves ordering.

Preamble
import Mathlib.Analysis.Complex.Basic
Formal statement
theorem Real_Number_Ordering_Compatible_with_Mult (a b c : ℝ) (ha : 0 ≤ a) (hbc : b ≤ c) : a * b ≤ a * c := by sorry

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