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Proof step 16 from proof same-subclasses-class-forward (previous step)

st[r0 -- _type] .type = mkarraytype(ty0), st[r -- mkfs(class, ty, fieldvar) '] = refval(r0), has_classtype(ty0), mkfs(class, ty, fieldvar) ' ∈ instfields(st[r -- _type] .type .class), same-subclasses(st[r -- _type] .type .class, str, str0), is_obj(str, r, st), is_obj(r, st), mkarraytype(ty0) ≤ ty, is_array(str0, r0, st), contains(str0, mkclasstype(st[r -- _type] .type .class), mkarraytype(ty0)), is_obj(str0, r, st), ∀ class0. contains(str0, mkclasstype(st[r -- _type] .type .class), mkclasstype(class0)) → same-subclasses(class0, str, str0) ⊦ r = jvmref, r0 = jvmref, contains(str0, mkclasstype(st[r -- _type] .type .class), ty0), junkref(str0, r0, st), contains(str0, mkclasstype(st[r -- _type] .type .class), ty0 .jtelemtype), same-subclasses(ty0 .jtelemtype .class, str, str0) ∧ (contains(str0, ty0 .jtelemtype, mkclasstype(class0)) → same-subclasses(class0, str, str0))

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 15:
⊦ contains(str, ty, mkarraytype(ty0)) → contains(str, ty, ty0)

Rule argument

[crewrite-arg: contains-array-elemtype , F , [ty0, ty, str] → [ty0, mkclasstype(st[r -- _type] .type .class), str0] ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (ty0, mkclasstype(st[r -- _type] .type .class), str0)]]