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("3"
(rewrite "abs_mult")
(("3"
(rewrite "abs_div")
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(rewrite "abs_0")
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(assert)
nil
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil)
((abs_hat formula-decl nil exponent_props "reals/")
(zero_hat formula-decl nil exponent_props "reals/")
(powerseq const-decl "sequence[real]" power_series nil)
(comparison_test formula-decl nil series nil))
nil))
(sin_TCC1 0
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("" (skosimp*)
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(("" (expand "conv_powerseries?")
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nil))
nil))
nil))
nil))
nil)
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nil)
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(real_pred const-decl "[number_field -> boolean]" reals nil)
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(conv_series? const-decl "bool" series nil)
(powerseries const-decl "sequence[real]" power_series nil)
(conv_powerseries? const-decl "bool" power_series_conv nil))
nil))
(cos_conv 0
(cos_conv-2 nil 3352095538
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(("" (skosimp*)
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1
1)
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(typepred
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nil
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil)
("2"
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(lemma "altsign_prep")
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(inst?)
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(lift-if)
(("2"
(ground)
nil
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil)
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(rewrite "abs_hat_nat")
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(case-replace
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nil))
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(inst?)
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nil
nil))
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nil
nil))
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nil))
nil))
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nil))
nil))
nil))
nil))
nil))
nil)
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nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil)
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nil)
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real_props nil)
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real_defs nil)
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nil)
(minus_odd_is_odd application-judgement "odd_int" integers nil)
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real_props nil)
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rationals nil)
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real_defs nil)
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real_defs nil)
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real_defs nil)
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(nonneg_real nonempty-type-eq-decl nil real_types nil)
(^ const-decl "real" exponentiation nil)
(OR const-decl "[bool, bool -> bool]" booleans nil)
(/ const-decl "[numfield, nznum -> numfield]" number_fields nil)
(nznum nonempty-type-eq-decl nil number_fields nil)
(/= const-decl "boolean" notequal nil)
(numfield nonempty-type-eq-decl nil number_fields nil)
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(nat nonempty-type-eq-decl nil naturalnumbers nil)
(>= const-decl "bool" reals nil)
(bool nonempty-type-eq-decl nil booleans nil)
(int nonempty-type-eq-decl nil integers nil)
(integer_pred const-decl "[rational -> boolean]" integers nil)
(rational nonempty-type-from-decl nil rationals nil)
(rational_pred const-decl "[real -> boolean]" rationals nil)
(comparison_test formula-decl nil series nil)
(useful_prep formula-decl nil trig_fun nil)
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(typepred
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(replace -3)
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nil
nil))
nil))
nil))
nil))
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(hide 2)
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(ground)
nil
nil))
nil))
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nil))
nil))
nil))
nil))
nil))
nil)
("2"
(rewrite "abs_mult")
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(rewrite "abs_hat_nat")
(("2"
(case-replace
"abs(altsign(n!1)) = 1")
(("1"
(rewrite "abs_div")
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(expand "abs" 1 1)
(("1" (assert) nil nil))
nil))
nil))
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(hide 2 3)
(("2"
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(("2"
(expand "altsign")
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(inst?)
(("1"
(expand "abs")
(("1"
(lift-if)
(("1"
(ground)
nil
nil))
nil))
nil)
("2"
(reveal 1)
(("2"
(lemma
"not_even_int")
(("2"
(inst?)
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(assert)
(("2"
(rewrite
"abs_div")
(("2"
(assert)
(("2"
(rewrite
"abs_altsign")
(("2"
(expand
"abs"
1
1)
(("2"
(assert)
nil
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil)
("3"
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(("3" (assert) nil nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil)
((powerseq const-decl "sequence[real]" power_series nil)
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(cos_TCC1 0
(cos_TCC1-1 nil 3298132328
("" (skosimp*)
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(tan_TCC1 0
(tan_TCC1-1 nil 3298132328 ("" (subtype-tcc) nil nil)
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"(LAMBDA n: sin_coef(1 + n) * 0 ^ (1 + n)) = (LAMBDA n: 0)")
(("1"
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(expand "sigma")
(("1" (propax) nil nil))
nil))
nil))
nil))
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nil
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(("2" (grind) nil nil)) nil))
nil))
nil))
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nil))
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nil))
nil)
("2" (hide 2)
(("2" (lemma "sin_conv")
(("2" (expand "conv_powerseries?")
(("2" (expand "powerseries")
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--> --------------------
--> maximum size reached
--> --------------------
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