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Proof step 19 from proof disjoint-forward-field (previous step)

st[r1 -- _type] .type = mkclasstype(class), r2 ∈ refs, r ∈ refs, r1 ∈ refs, sk ∈ instfields(class), path∃(str, r2, r0, st), path∃(str, st[r1 -- sk] .refval, r0, st), ∀ r4, r5, r6. ¬ r4 ∈ refs ∨ ¬ r5 ∈ refs ∨ r4 = r5 ∨ r6 = jvmref ∨ ¬ path∃(str, r4, r6, st) ∨ ¬ path∃(str, r5, r6, st) ⊦ r2 = r1, st[r1 -- sk] .refval = r2, r0 = jvmref, r1 = jvmref, r = r1, st[r1 -- sk] .refval ∈ refs -l r1, st[r1 -- sk] .refval ∈ refs, junkref(str, r1, st)

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 18:
st[r1 -- sk] = refval(r3) ∧ is_referencevalue(st[r1 -- sk]), st[r1 -- _type] .type = mkclasstype(class), r2 ∈ refs, r ∈ refs, r1 ∈ refs, sk ∈ instfields(class), path∃(str, r2, r0, st), path∃(str, r3, r0, st), ∀ r4, r5, r6. ¬ r4 ∈ refs ∨ ¬ r5 ∈ refs ∨ r4 = r5 ∨ r6 = jvmref ∨ ¬ path∃(str, r4, r6, st) ∨ ¬ path∃(str, r5, r6, st) ⊦ r2 = r1, r3 = r2, r0 = jvmref, r1 = jvmref, r = r1, r3 ∈ refs -l r1, r3 ∈ refs, junkref(str, r1, st)

Rule argument

[x0lemmaarg: spec-name: javavalue instance-name: lemma-name: elim-refval antecedent: is_referencevalue(val) succedent: r = val .refval ↔ val = refval(r) substlist: [val, r] → [st[r1 -- sk], r3] add preconditions?: F is rewrite lemma?: F current spec?: F rotate lemma?: T replace all?: T paths: () dummy: () ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPNAMEDSEQ : valuefuns, , refval-xtra, ⊦ ¬ is_referencevalue(val) → val .refval = jvmref], [CSIMPNAMEDSEQ : cyclic, , pathex-null, ⊦ r ≠ jvmref → ¬ path∃(str, jvmref, r, st)], [CSIMPELIM : is_referencevalue(val) ⊦ r = val .refval ↔ val = refval(r)])], [EXTRATERMS : (st[r1 -- sk], r3)]]