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C02_Basics: solutions: streamlined example #403

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C02_Basics: solutions: streamlined example #403

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7 changes: 2 additions & 5 deletions MIL/C02_Basics/S04_More_on_Order_and_Divisibility.lean
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Expand Up @@ -210,13 +210,10 @@ example : min a b + c = min (a + c) (b + c) := by
SOLUTIONS: -/
apply le_antisymm
· apply aux
have h : min (a + c) (b + c) = min (a + c) (b + c) - c + c := by rw [sub_add_cancel]
rw [h]
apply add_le_add_left
rw [sub_eq_add_neg]
rw [← add_neg_le_iff_le_add]
apply le_trans
apply aux
rw [add_neg_cancel_right, add_neg_cancel_right]
repeat rw [add_neg_cancel_right]
-- QUOTE.

/- TEXT:
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