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(("3" (inst - "x!1") (("3" (assert) nil nil)) nil)) nil))
nil))
nil)
("2" (case "(EXISTS (y:T): abs(x!1) < y)")
(("1" (skosimp*)
(("1" (case "abs(y!1) > 0")
(("1" (inst - "y!1")
(("1" (lemma "powerseries_bounded")
(("1" (inst?)
(("1" (assert)
(("1" (rewrite "bounded?_lem")
(("1" (skosimp*)
(("1" (lemma "comparison_test")
(("1"
(name "BS"
"(LAMBDA n: IF n = 0 THEN 0 ELSE n*B!1/abs(y!1)*abs(x!1/y!1)^(n-1) ENDIF)")
(("1"
(inst
-
"deriv_powerseq(a!1, x!1)"
"BS")
(("1"
(assert)
(("1"
(hide 3)
(("1"
(prop)
(("1"
(case-replace "B!1 = 0")
(("1"
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(("1"
(rewrite
"zero_series_conv")
nil
nil)
("2"
(replace -2 * rl)
(("2"
(apply-extensionality
1
:hide?
t)
(("1"
(lift-if)
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nil
nil))
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(skosimp*)
(("2"
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nil
nil))
nil))
nil))
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("2"
(case
"(EXISTS (NN: posnat): (NN+1)/NN*abs(x!1/y!1) < 1)")
(("1"
(skosimp*)
(("1"
(lemma "ratio_test_gt_N")
(("1"
(inst?)
(("1"
(assert)
(("1"
(hide 3)
(("1"
(inst + "NN!1")
(("1"
(inst
+
"(NN!1 + 1) / NN!1 * abs(x!1 / y!1)")
(("1"
(assert)
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(skosimp*)
(("1"
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"BS(n!1) /= 0")
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(name
"RR"
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(replace
-1)
(("1"
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