- #1
trebolian
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Homework Statement
Theorem: Let x,y,ε be ℝ. If x≤ y+ε for every ε > 0 then x ≤ y.
Write the above as a logic statement and prove it using contrapositive proof.
The attempt at a solution
The contrapositive statement x > y → x > y+ε is only true if ε < 0. Does a contrapositive proof negate the equality of ε?