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Checked style.

This commit is contained in:
Achim D. Brucker 2016-12-28 00:00:09 +00:00
parent e0dac8a3ab
commit 61cdc4efcf
1 changed files with 23 additions and 24 deletions
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19
NAT/NAT.thy
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@ -38,7 +38,7 @@
subsection{* Network Address Translation *}
theory
NAT
imports
imports
"../PacketFilter/PacketFilter"
begin
@ -91,7 +91,6 @@ definition srcPat2pool_IntProtocol ::
"srcPat2pool_IntProtocol srcs transl =
{x. (fst (src x)) \<in> srcs} \<triangleleft> (A\<^sub>f (srcPat2poolPort_Protocol_t transl))"
text{*
The following lemmas are used for achieving a normalized output format of packages after
applying NAT. This is used, e.g., by our firewall execution tool.
@ -103,7 +102,7 @@ lemma datasimp: "{(i, (s1, s2, s3), aba).
= {(i, (s1, s2, s3), aba).
i = i1 \<and> s1 = i101 \<and> s3 = iudp \<and> (\<lambda> ((a,aa,b),ba). a = i110 \<and> aa = X606X3 \<and>
b = X607X4 \<and> ba = data) aba}"
by auto
by auto
lemma datasimp2: "{(i, (s1, s2, s3), aba).
\<forall>a aa b ba. aba = ((a, aa, b), ba) \<longrightarrow> i = i1 \<and> s1 = i132 \<and> s3 = iudp \<and>
@ -111,7 +110,7 @@ lemma datasimp2: "{(i, (s1, s2, s3), aba).
= {(i, (s1, s2, s3), aba).
i = i1 \<and> s1 = i132 \<and> s3 = iudp \<and> s2 = i1 \<and> (\<lambda> ((a,aa,b),ba). a = i110 \<and>
aa = i4 \<and> b = iudp \<and> ba = data) aba}"
by auto
by auto
lemma datasimp3: "{(i, (s1, s2, s3), aba).
\<forall> a aa b ba. aba = ((a, aa, b), ba) \<longrightarrow> i = i1 \<and> i115 < s1 \<and> s1 < i124 \<and>
@ -119,7 +118,7 @@ lemma datasimp3: "{(i, (s1, s2, s3), aba).
= {(i, (s1, s2, s3), aba).
i = i1 \<and> i115 < s1 \<and> s1 < i124 \<and> s3 = iudp \<and> s2 = ii1 \<and>
(\<lambda> ((a,aa,b),ba). a = i110 & aa = i3 & b = itcp & ba = data) aba}"
by auto
by auto
lemma datasimp4: "{(i, (s1, s2, s3), aba).
\<forall>a aa b ba. aba = ((a, aa, b), ba) \<longrightarrow> i = i1 \<and> s1 = i132 \<and> s3 = iudp \<and>
@ -127,7 +126,7 @@ lemma datasimp4: "{(i, (s1, s2, s3), aba).
= {(i, (s1, s2, s3), aba).
i = i1 \<and> s1 = i132 \<and> s3 = iudp \<and> s2 = ii1 \<and>
(\<lambda> ((a,aa,b),ba). a = i110 \<and> aa = i7 \<and> b = itcp \<and> ba = data) aba}"
by auto
by auto
lemma datasimp5: " {(i, (s1, s2, s3), aba).
i = i1 \<and> s1 = i101 \<and> s3 = iudp \<and> (\<lambda> ((a,aa,b),ba). a = i110 \<and> aa = X606X3 \<and>
@ -135,7 +134,7 @@ lemma datasimp5: " {(i, (s1, s2, s3), aba).
= {(i, (s1, s2, s3), (a,aa,b),ba).
i = i1 \<and> s1 = i101 \<and> s3 = iudp \<and> a = i110 \<and> aa = X606X3 \<and>
b = X607X4 \<and> ba = data}"
by auto
by auto
lemma datasimp6: "{(i, (s1, s2, s3), aba).
i = i1 \<and> s1 = i132 \<and> s3 = iudp \<and> s2 = i1 \<and>
@ -143,7 +142,7 @@ lemma datasimp6: "{(i, (s1, s2, s3), aba).
= {(i, (s1, s2, s3), (a,aa,b),ba).
i = i1 \<and> s1 = i132 \<and> s3 = iudp \<and> s2 = i1 \<and> a = i110 \<and>
aa = i4 \<and> b = iudp \<and> ba = data}"
by auto
by auto
lemma datasimp7: "{(i, (s1, s2, s3), aba).
i = i1 \<and> i115 < s1 \<and> s1 < i124 \<and> s3 = iudp \<and> s2 = ii1 \<and>
@ -151,13 +150,13 @@ lemma datasimp7: "{(i, (s1, s2, s3), aba).
= {(i, (s1, s2, s3), (a,aa,b),ba).
i = i1 \<and> i115 < s1 \<and> s1 < i124 \<and> s3 = iudp \<and> s2 = ii1
\<and> a = i110 \<and> aa = i3 \<and> b = itcp \<and> ba = data}"
by auto
by auto
lemma datasimp8: "{(i, (s1, s2, s3), aba). i = i1 \<and> s1 = i132 \<and> s3 = iudp \<and> s2 = ii1 \<and>
(\<lambda> ((a,aa,b),ba). a = i110 \<and> aa = i7 \<and> b = itcp \<and> ba = data) aba}
= {(i, (s1, s2, s3), (a,aa,b),ba). i = i1 \<and> s1 = i132 \<and> s3 = iudp
\<and> s2 = ii1 \<and> a = i110 \<and> aa = i7 \<and> b = itcp \<and> ba = data}"
by auto
by auto
lemmas datasimps = datasimp datasimp2 datasimp3 datasimp4
datasimp5 datasimp6 datasimp7 datasimp8