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Proof step 12 from proof unchanged-rec-generic (previous step)

st[r -- mkfs(class, ty, fieldvar) '] = refval(r0), mkfs(class, ty, fieldvar) ' ∈ instfields(st[r -- _type] .type .class), unchanged(str, r, st, st0), is_classtype(st[r -- _type] .type) ⊦ r = jvmref, unchanged(str, r0, st, st0), junkref(str, r, st), is_obj(str, r, st) ∧ (r0 ≠ jvmref → st[r0 -- _type] .type ≤ ty ∧ is_valid_ref(str, r0, st))

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 11:
st[r -- _type] .type = mkclasstype(class0), st[r -- mkfs(class, ty, fieldvar) '] = refval(r0), mkfs(class, ty, fieldvar) ' ∈ instfields(class0), unchanged(str, r, st, st0), is_classtype(st[r -- _type] .type) ⊦ r = jvmref, unchanged(str, r0, st, st0), junkref(str, r, st), is_obj(str, r, st) ∧ (r0 ≠ jvmref → st[r0 -- _type] .type ≤ ty ∧ is_valid_ref(str, r0, st))

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[r -- _type] .type, class0] 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[r -- _type] .type, class0)]]