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Proof step 105 from proof pseq-sym-01 (previous step)

st[r -- _type] = st1[r1 -- _type], is_classtype(st1[r1 -- _type] .type), ∀ fs. fs ' ∈ instfields(st1[r1 -- _type] .type .class) ∧ is_referencevalue(st[r -- fs ']) → ps=(st[r -- fs '] .refval, st, st1[r1 -- fs '] .refval, st1), ∀ fs. fs ' ∈ instfields(st1[r1 -- _type] .type .class) ∧ ¬ is_referencevalue(st[r -- fs ']) → st[r -- fs '] = st1[r1 -- fs '], ∀ st, r, st0, r0, str0. maxpath(str0, r0, st0) < maxpath(str, r1, st1) → ( true → ( ¬ cyclic(str0, r, st) ∧ ¬ cyclic(str0, r0, st0) ∧ ¬ junkref(str0, r, st) ∧ ¬ junkref(str0, r0, st0) → (ps=(r, st, r0, st0) → ps=(r0, st0, r, st)))) ⊦ r1 = jvmref, r = jvmref, cyclic(str, r, st), cyclic(str, r1, st1), junkref(str, r, st), junkref(str, r1, st1), ( fs ' ∈ instfields(st1[r1 -- _type] .type .class) ∧ is_referencevalue(st1[r1 -- fs ']) → ps=(st1[r1 -- fs '] .refval, st1, st[r -- fs '] .refval, st)) ∧ (fs0 ' ∈ instfields(st1[r1 -- _type] .type .class) ∧ ¬ is_referencevalue(st1[r1 -- fs0 ']) → st1[r1 -- fs0 '] = st[r -- fs0 '])

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 104:
st1[r1 -- _type] .type = mkclasstype(class), st[r -- _type] = st1[r1 -- _type], is_classtype(st1[r1 -- _type] .type), ∀ fs. fs ' ∈ instfields(class) ∧ is_referencevalue(st[r -- fs ']) → ps=(st[r -- fs '] .refval, st, st1[r1 -- fs '] .refval, st1), ∀ fs. fs ' ∈ instfields(class) ∧ ¬ is_referencevalue(st[r -- fs ']) → st[r -- fs '] = st1[r1 -- fs '], ∀ st, r, st0, r0, str0. maxpath(str0, r0, st0) < maxpath(str, r1, st1) → ( true → ( ¬ cyclic(str0, r, st) ∧ ¬ cyclic(str0, r0, st0) ∧ ¬ junkref(str0, r, st) ∧ ¬ junkref(str0, r0, st0) → (ps=(r, st, r0, st0) → ps=(r0, st0, r, st)))) ⊦ r1 = jvmref, r = jvmref, cyclic(str, r, st), cyclic(str, r1, st1), junkref(str, r, st), junkref(str, r1, st1), (fs ' ∈ instfields(class) ∧ is_referencevalue(st1[r1 -- fs ']) → ps=(st1[r1 -- fs '] .refval, st1, st[r -- fs '] .refval, st)) ∧ (fs0 ' ∈ instfields(class) ∧ ¬ is_referencevalue(st1[r1 -- fs0 ']) → st1[r1 -- fs0 '] = st[r -- fs0 '])

Rule argument

[speclemmaarg: ,is_classtype(ty) → (class = ty .class ↔ ty = mkclasstype(class)) ,[ty, class] → [st1[r1 -- _type] .type, class] ,T ,javatype , ,elim-02 ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPELIM : ⊦ is_classtype(ty) → ( class = ty .class ↔ ty = mkclasstype(class))])], [EXTRATERMS : (st1[r1 -- _type] .type, class)]]