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theorem proved term proof

additive_composition_is_minimal

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formal statement (Lean)

 108theorem additive_composition_is_minimal (a b : ℕ) (ha : 1 ≤ a) (hb : 1 ≤ b) :
 109    max a b = 1 → a = 1 ∧ b = 1 := by

proof body

Term-mode proof.

 110  intro h
 111  constructor
 112  · exact Nat.le_antisymm (by omega) ha
 113  · exact Nat.le_antisymm (by omega) hb
 114
 115/-- The pair (1,1) achieves max = 1. -/

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