Theory Ports

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subsection ‹Ports›
theory Ports
  imports 
    Main
begin

text‹
  This theory can be used if we want to specify the port numbers by names denoting their default 
  Integer values. If you want to use them, please add ‹Ports› to the simplifier.
›

definition http::int where "http = 80"

lemma http1: "x ≠ 80 ⟹ x ≠ http"
  by (simp add: http_def)

lemma http2: "x ≠ 80 ⟹ http ≠ x"
  by (simp add: http_def)

definition smtp::int where "smtp = 25"

lemma smtp1: "x ≠ 25 ⟹ x ≠ smtp"
  by (simp add: smtp_def)

lemma smtp2: "x ≠ 25 ⟹ smtp ≠ x"
  by (simp add: smtp_def)

definition ftp::int where "ftp = 21"

lemma ftp1: "x ≠ 21 ⟹ x ≠ ftp"
  by (simp add: ftp_def)

lemma ftp2: "x ≠ 21 ⟹ ftp ≠ x"
  by (simp add: ftp_def)

text‹And so on for all desired port numbers.›

lemmas Ports = http1 http2 ftp1 ftp2 smtp1 smtp2

end