src/HOL/Real_Asymp/expansion_interface.ML

--- /dev/null	Thu Jan 01 00:00:00 1970 +0000
+++ b/src/HOL/Real_Asymp/expansion_interface.ML	Sun Jul 15 14:46:57 2018 +0200
@@ -0,0 +1,27 @@
+signature EXPANSION_INTERFACE =
+sig
+type T
+
+val expand_term : 
+  Lazy_Eval.eval_ctxt -> term -> Asymptotic_Basis.basis -> T * Asymptotic_Basis.basis
+val expand_terms : 
+  Lazy_Eval.eval_ctxt -> term list -> Asymptotic_Basis.basis -> T list * Asymptotic_Basis.basis
+
+val prove_nhds : Lazy_Eval.eval_ctxt -> T * Asymptotic_Basis.basis -> thm
+val prove_at_infinity : Lazy_Eval.eval_ctxt -> T * Asymptotic_Basis.basis -> thm
+val prove_at_top : Lazy_Eval.eval_ctxt -> T * Asymptotic_Basis.basis -> thm
+val prove_at_bot : Lazy_Eval.eval_ctxt -> T * Asymptotic_Basis.basis -> thm
+val prove_at_0 : Lazy_Eval.eval_ctxt -> T * Asymptotic_Basis.basis -> thm
+val prove_at_right_0 : Lazy_Eval.eval_ctxt -> T * Asymptotic_Basis.basis -> thm
+val prove_at_left_0 : Lazy_Eval.eval_ctxt -> T * Asymptotic_Basis.basis -> thm
+val prove_eventually_nonzero : Lazy_Eval.eval_ctxt -> T * Asymptotic_Basis.basis -> thm
+
+val prove_eventually_less : Lazy_Eval.eval_ctxt -> T * T * Asymptotic_Basis.basis -> thm
+val prove_eventually_greater : Lazy_Eval.eval_ctxt -> T * T * Asymptotic_Basis.basis -> thm
+
+val prove_smallo : Lazy_Eval.eval_ctxt -> T * T * Asymptotic_Basis.basis -> thm
+val prove_bigo : Lazy_Eval.eval_ctxt -> T * T * Asymptotic_Basis.basis -> thm
+val prove_bigtheta : Lazy_Eval.eval_ctxt -> T * T * Asymptotic_Basis.basis -> thm
+val prove_asymp_equiv : Lazy_Eval.eval_ctxt -> T * T * Asymptotic_Basis.basis -> thm
+
+end
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