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Proof step 4 from proof same-subclasses-class-forward (previous step)

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

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 3:
⊦ contains(str, ty, ty0) ∧ contains(str, ty0, ty1) → contains(str, ty, ty1)

Rule argument

[crewrite-arg: contains-trans , F , [str, ty, ty0, ty1] → [str0, mkclasstype(st[r -- _type] .type .jtelemtype .class), mkclasstype(st[r0 -- _type] .type .jtelemtype .class), mkclasstype(class0)] ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ has_classtype(ty) → mkclasstype (ty .jtelemtype .class) = ty .jtelemtype])], [EXTRATERMS : (str0, mkclasstype(st[r -- _type] .type .jtelemtype .class), mkclasstype(st[r0 -- _type] .type .jtelemtype .class), mkclasstype(class0))]]