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theorem proved term proof

hi_le_implies_contains_le

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formal statement (Lean)

 177theorem hi_le_implies_contains_le {I : Interval} {b : ℚ} (h : I.hi ≤ b) {x : ℝ}
 178    (hx : I.contains x) : x ≤ (b : ℝ) :=

proof body

Term-mode proof.

 179  le_trans hx.2 (by exact_mod_cast h)
 180
 181end Interval
 182
 183end IndisputableMonolith.Numerics

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