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logic.sig
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60 lines (45 loc) · 1.38 KB
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signature logic =
sig
type form = form.form
type term = term.term
type sort = term.sort
type menv = form.menv
type thm
datatype thm_view = vth of ((string * sort) set * form list * form)
val dest_thm: thm -> (string * sort) set * form list * form
val view_thm: thm -> thm_view
val mk_thm: (string * sort) set -> form list -> form -> thm
val mk_fth: form -> thm
val eq_thm: thm -> thm -> bool
val ant: thm -> form list
val concl: thm -> form
val cont: thm -> (string * sort) set
val assume: form -> thm
val refl: term -> thm
val trans: thm -> thm -> thm
val sym: thm -> thm
val mk_sss: (string * sort) set list -> (string * sort) set
val inst_thm: menv -> thm -> thm
val EQ_fsym: string -> thm list -> thm
val EQ_psym: string -> thm list -> thm
val conjI: thm -> thm -> thm
val conjE1: thm -> thm
val conjE2: thm -> thm
val disjI1: form -> thm -> thm
val disjI2: form -> thm -> thm
val disjE: thm -> thm -> thm -> thm
val dimpI: thm -> thm -> thm
val dimpE: thm -> thm
val tautI: form -> thm
val negI: form -> thm -> thm
val negE: thm -> thm -> thm
val existsE: string * sort -> thm -> thm -> thm
val existsI: string * sort -> term -> form -> thm -> thm
val falseE: form list -> form -> thm
val trueI: form list -> thm
val allI: (string * sort) -> thm -> thm
val allE: term -> thm -> thm
val disch: form -> thm -> thm
val mp: thm -> thm -> thm
val add_cont: (string * sort) set -> thm -> thm
end