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Proof step 18 from proof validref-subspec-samesubclasses-01 (previous step)

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

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 17:
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

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ tdname+∃ (str, `java.lang.Object' .class)], [CSIMPSEQ : ⊦ i > j ↔ j < i], [CSIMPSEQ : ⊦ ty .jtclass = ty .jtelemtype .class])]]