theorem
proved
term proof
additive_composition_is_minimal
show as:
view Lean formalization →
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. -/