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Proof step 12 from proof validref-subspec-samesubclasses-01 (previous step)

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

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 11:
ty .jtelemtype .class = `java.lang.Object' .class, same-subclasses-contains(`java.lang.Object' .class, str, str0), junkref(str, r, st), has_classtype(st[r -- _type] .type), ty .jtdims < st[r -- _type] .type .jtdims, has_classtype(ty), is_valid_ref(str0, r, st), type∃(str0, st[r -- _type] .type) ⊦ r = jvmref, tdname+∃(str0, st[r -- _type] .type .jtelemtype .class), junkref(str0, r, st), same-subclasses-contains(st[r -- _type] .type .jtelemtype .class, str, str0), st[r -- _type] .type .jtelemtype .class ≤ `java.lang.Object' .class

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ()]]