13 definition subcls1 :: "(cname \<times> cname) set" |
13 definition subcls1 :: "(cname \<times> cname) set" |
14 where |
14 where |
15 "subcls1 \<equiv> {(C,D). C\<noteq>Object \<and> (\<exists>c. class C = Some c \<and> super c=D)}" |
15 "subcls1 \<equiv> {(C,D). C\<noteq>Object \<and> (\<exists>c. class C = Some c \<and> super c=D)}" |
16 |
16 |
17 abbreviation |
17 abbreviation |
18 subcls1_syntax :: "[cname, cname] => bool" ("_ <=C1 _" [71,71] 70) |
18 subcls1_syntax :: "[cname, cname] => bool" ("_ \<prec>C1 _" [71,71] 70) |
19 where "C <=C1 D == (C,D) \<in> subcls1" |
19 where "C \<prec>C1 D == (C,D) \<in> subcls1" |
20 abbreviation |
20 abbreviation |
21 subcls_syntax :: "[cname, cname] => bool" ("_ <=C _" [71,71] 70) |
21 subcls_syntax :: "[cname, cname] => bool" ("_ \<preceq>C _" [71,71] 70) |
22 where "C <=C D == (C,D) \<in> subcls1^*" |
22 where "C \<preceq>C D == (C,D) \<in> subcls1^*" |
23 |
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24 notation (xsymbols) |
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25 subcls1_syntax ("_ \<prec>C1 _" [71,71] 70) and |
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26 subcls_syntax ("_ \<preceq>C _" [71,71] 70) |
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27 |
23 |
28 |
24 |
29 subsection "Declarations and properties not used in the meta theory" |
25 subsection "Declarations and properties not used in the meta theory" |
30 |
26 |
31 text{* Widening, viz. method invocation conversion *} |
27 text{* Widening, viz. method invocation conversion *} |