src/HOL/Real_Asymp/expansion_interface.ML
changeset 68630 c55f6f0b3854
equal deleted inserted replaced
68629:f36858fdf768 68630:c55f6f0b3854
       
     1 signature EXPANSION_INTERFACE =
       
     2 sig
       
     3 type T
       
     4 
       
     5 val expand_term : 
       
     6   Lazy_Eval.eval_ctxt -> term -> Asymptotic_Basis.basis -> T * Asymptotic_Basis.basis
       
     7 val expand_terms : 
       
     8   Lazy_Eval.eval_ctxt -> term list -> Asymptotic_Basis.basis -> T list * Asymptotic_Basis.basis
       
     9 
       
    10 val prove_nhds : Lazy_Eval.eval_ctxt -> T * Asymptotic_Basis.basis -> thm
       
    11 val prove_at_infinity : Lazy_Eval.eval_ctxt -> T * Asymptotic_Basis.basis -> thm
       
    12 val prove_at_top : Lazy_Eval.eval_ctxt -> T * Asymptotic_Basis.basis -> thm
       
    13 val prove_at_bot : Lazy_Eval.eval_ctxt -> T * Asymptotic_Basis.basis -> thm
       
    14 val prove_at_0 : Lazy_Eval.eval_ctxt -> T * Asymptotic_Basis.basis -> thm
       
    15 val prove_at_right_0 : Lazy_Eval.eval_ctxt -> T * Asymptotic_Basis.basis -> thm
       
    16 val prove_at_left_0 : Lazy_Eval.eval_ctxt -> T * Asymptotic_Basis.basis -> thm
       
    17 val prove_eventually_nonzero : Lazy_Eval.eval_ctxt -> T * Asymptotic_Basis.basis -> thm
       
    18 
       
    19 val prove_eventually_less : Lazy_Eval.eval_ctxt -> T * T * Asymptotic_Basis.basis -> thm
       
    20 val prove_eventually_greater : Lazy_Eval.eval_ctxt -> T * T * Asymptotic_Basis.basis -> thm
       
    21 
       
    22 val prove_smallo : Lazy_Eval.eval_ctxt -> T * T * Asymptotic_Basis.basis -> thm
       
    23 val prove_bigo : Lazy_Eval.eval_ctxt -> T * T * Asymptotic_Basis.basis -> thm
       
    24 val prove_bigtheta : Lazy_Eval.eval_ctxt -> T * T * Asymptotic_Basis.basis -> thm
       
    25 val prove_asymp_equiv : Lazy_Eval.eval_ctxt -> T * T * Asymptotic_Basis.basis -> thm
       
    26 
       
    27 end