src/HOL/Real_Asymp/expansion_interface.ML
author nipkow
Sun, 04 Nov 2018 12:07:24 +0100
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permissions -rw-r--r--
Faster Braun tree functions
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signature EXPANSION_INTERFACE =
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sig
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type T
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val expand_term : 
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  Lazy_Eval.eval_ctxt -> term -> Asymptotic_Basis.basis -> T * Asymptotic_Basis.basis
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val expand_terms : 
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  Lazy_Eval.eval_ctxt -> term list -> Asymptotic_Basis.basis -> T list * Asymptotic_Basis.basis
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val prove_nhds : Lazy_Eval.eval_ctxt -> T * Asymptotic_Basis.basis -> thm
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val prove_at_infinity : Lazy_Eval.eval_ctxt -> T * Asymptotic_Basis.basis -> thm
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val prove_at_top : Lazy_Eval.eval_ctxt -> T * Asymptotic_Basis.basis -> thm
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val prove_at_bot : Lazy_Eval.eval_ctxt -> T * Asymptotic_Basis.basis -> thm
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val prove_at_0 : Lazy_Eval.eval_ctxt -> T * Asymptotic_Basis.basis -> thm
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val prove_at_right_0 : Lazy_Eval.eval_ctxt -> T * Asymptotic_Basis.basis -> thm
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val prove_at_left_0 : Lazy_Eval.eval_ctxt -> T * Asymptotic_Basis.basis -> thm
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val prove_eventually_nonzero : Lazy_Eval.eval_ctxt -> T * Asymptotic_Basis.basis -> thm
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val prove_eventually_less : Lazy_Eval.eval_ctxt -> T * T * Asymptotic_Basis.basis -> thm
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val prove_eventually_greater : Lazy_Eval.eval_ctxt -> T * T * Asymptotic_Basis.basis -> thm
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val prove_smallo : Lazy_Eval.eval_ctxt -> T * T * Asymptotic_Basis.basis -> thm
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val prove_bigo : Lazy_Eval.eval_ctxt -> T * T * Asymptotic_Basis.basis -> thm
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val prove_bigtheta : Lazy_Eval.eval_ctxt -> T * T * Asymptotic_Basis.basis -> thm
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val prove_asymp_equiv : Lazy_Eval.eval_ctxt -> T * T * Asymptotic_Basis.basis -> thm
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end