Step
*
of Lemma
rleq-iff4
∀[x,y:ℝ]. (x ≤ y
⇐⇒ ∀n:ℕ+. ((x n) ≤ ((y n) + 4)))
BY
{ Auto }
1
1. x : ℝ
2. y : ℝ
3. x ≤ y@i
4. n : ℕ+@i
⊢ (x n) ≤ ((y n) + 4)
2
1. x : ℝ
2. y : ℝ
3. ∀n:ℕ+. ((x n) ≤ ((y n) + 4))@i
⊢ x ≤ y
Latex:
Latex:
\mforall{}[x,y:\mBbbR{}]. (x \mleq{} y \mLeftarrow{}{}\mRightarrow{} \mforall{}n:\mBbbN{}\msupplus{}. ((x n) \mleq{} ((y n) + 4)))
By
Latex:
Auto
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