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Proof step 17 from proof validref-subspec-samesubclasses-01 (previous step)

ty .jtelemtype .class = `java.lang.Object' .class, has_classtype(ty), ty .jtdims < st[r -- _type] .type .jtdims, has_classtype(st[r -- _type] .type), junkref(str, r, st), same-subclasses-contains(`java.lang.Object' .class, str, str0) ⊦ r = jvmref, st[r -- _type] .type .jtelemtype .class ≤ `java.lang.Object' .class, same-subclasses-contains(st[r -- _type] .type .jtelemtype .class, str, str0), junkref(str0, r, st)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 7:
⊦ tdname+∃(str, class) → class ≤ `java.lang.Object' .class
Proof step 16:
¬ tdname+∃(str0, st[r -- _type] .type .jtelemtype .class), ty .jtelemtype .class = `java.lang.Object' .class, has_classtype(ty), ty .jtdims < st[r -- _type] .type .jtdims, has_classtype(st[r -- _type] .type), junkref(str, r, st), same-subclasses-contains(`java.lang.Object' .class, str, str0) ⊦ r = jvmref, st[r -- _type] .type .jtelemtype .class ≤ `java.lang.Object' .class, same-subclasses-contains(st[r -- _type] .type .jtelemtype .class, str, str0), junkref(str0, r, st)

Rule argument

[speclemmaarg: ,tdname+∃(str, class) → class ≤ `java.lang.Object' .class ,[str, class] → [str0, st[r -- _type] .type .jtelemtype .class] ,F ,typefuns , ,classex-object-01 ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (str0, st[r -- _type] .type .jtelemtype .class)]]