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Proof step 17 from proof at-put-prim (previous step)

st[r0 -- sk0] = refval(r1), is_obj(str, r0, st), fits(r1, sks0, st), is_referencevalue(st[r1 -- sks0]), junkref(str, r1, st), is_classtype(st[r0 -- _type] .type), sk0 ∈ instfields(st[r0 -- _type] .type .class), r0 ≠ r ∨ sk0 ≠ sk ⊦ sks0 = [], r0 = jvmref, (st[r -- sk, val][r1 -- sks0]) = st[r1 -- sks0], junkref(str, r0, st), junkref(str, r, st), is_referencevalue(st[r -- sk])

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 16:
st[r0 -- _type] .type = mkclasstype(class), st[r0 -- sk0] = refval(r1), is_obj(str, r0, st), fits(r1, sks0, st), is_referencevalue(st[r1 -- sks0]), junkref(str, r1, st), is_classtype(st[r0 -- _type] .type), sk0 ∈ instfields(class), r0 ≠ r ∨ sk0 ≠ sk ⊦ sks0 = [], r0 = jvmref, (st[r -- sk, val][r1 -- sks0]) = st[r1 -- sks0], junkref(str, r0, st), junkref(str, r, st), is_referencevalue(st[r -- sk])

Rule argument

[x0lemmaarg: spec-name: javatype instance-name: lemma-name: elim-02 antecedent: succedent: is_classtype(ty) → (class = ty .class ↔ ty = mkclasstype(class)) substlist: [ty, class] → [st[r0 -- _type] .type, class] add preconditions?: F is rewrite lemma?: F current spec?: F rotate lemma?: T replace all?: T paths: () dummy: () ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPELIM : ⊦ is_classtype(ty) → ( class = ty .class ↔ ty = mkclasstype(class))])], [EXTRATERMS : (st[r0 -- _type] .type, class)]]