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Proof step 61 from proof junkrefs-put-nopathexplus-equiv (previous step)

is_referencevalue(st[r -- fs ']), fs ' ∈ instfields(st[r -- _type] .type .class), is_obj(str, r, st), st[r -- _type] .type ≤ ty, junkrefs(str, st[r -- fs '] .refval ' + refs1, fs .type, st), ∀ val, sk, r0, st0, ty, r2, str, refs. # refs < # (st[r -- fs '] .refval + refs1) → (junkrefs(str, r2 ' + refs, ty, st0) → junkrefs(str, r2 ' + refs, ty, st0[r0 -- sk, val]) ∨ sk = _type ∨ path∃+(str, r2, r0, st0)) ⊦ sk = _type, r = jvmref, r = r0, path∃+(str, r, r0, st), junkrefs(str, r ' + st[r -- fs '] .refval ' + refs1, ty, st[r0 -- sk, val])

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 60:
fs = mkfs(class, ty0, fieldvar), is_referencevalue(st[r -- fs ']), fs ' ∈ instfields(st[r -- _type] .type .class), is_obj(str, r, st), st[r -- _type] .type ≤ ty, junkrefs(str, st[r -- fs '] .refval ' + refs1, ty0, st), ∀ val, sk, r0, st0, ty, r2, str, refs. # refs < # (st[r -- fs '] .refval + refs1) → (junkrefs(str, r2 ' + refs, ty, st0) → junkrefs(str, r2 ' + refs, ty, st0[r0 -- sk, val]) ∨ sk = _type ∨ path∃+(str, r2, r0, st0)) ⊦ sk = _type, r = jvmref, r = r0, path∃+(str, r, r0, st), junkrefs(str, r ' + st[r -- fs '] .refval ' + refs1, ty, st[r0 -- sk, val])

Rule argument

[speclemmaarg: , class = fs .class ∧ ty = fs .type ∧ fieldvar = fs .field ↔ fs = mkfs(class, ty, fieldvar) ,[fs, class, ty, fieldvar] → [fs, class, ty0, fieldvar] ,T ,fieldspec , ,elim ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPELIM : ⊦ class = fs .class ∧ ty = fs .type ∧ fieldvar = fs .field ↔ fs = mkfs(class, ty, fieldvar)])], [EXTRATERMS : (fs, class, ty0, fieldvar)]]