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Proof step 18 from proof validrefs-addarray-junkref (previous step)

validrefs(str, st[r1 -- fs '] .refval ' + refs, fs .type, addarray(r, ty, vals, st)), is_referencevalue(st[r1 -- fs ']), fs ' ∈ instfields(st[r1 -- _type] .type .class), is_obj(str, r1, st), st[r1 -- _type] .type ≤ ty0, newref(r, st), ∀ str0, ty1, r0, ty2, vals0, st0. validrefs(str0, st[r1 -- fs '] .refval ' + refs, ty1, addarray(r0, ty2, vals0, st0)) ∧ newref(r0, st0) ∧ (r0 = st[r1 -- fs '] .refval ∨ r0 ∈ refs) → junkref(str0, st[r1 -- fs '] .refval, st0) ⊦ r = r1, r = jvmref, r1 = jvmref, junkref(str, r1, st), r ≠ st[r1 -- fs '] .refval ∧ ¬ r ∈ refs

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 17:
fs = mkfs(class, ty3, fieldvar), validrefs(str, st[r1 -- fs '] .refval ' + refs, ty3, addarray(r, ty, vals, st)), is_referencevalue(st[r1 -- fs ']), fs ' ∈ instfields(st[r1 -- _type] .type .class), is_obj(str, r1, st), st[r1 -- _type] .type ≤ ty0, newref(r, st), ∀ str0, ty1, r0, ty2, vals0, st0. validrefs(str0, st[r1 -- fs '] .refval ' + refs, ty1, addarray(r0, ty2, vals0, st0)) ∧ newref(r0, st0) ∧ (r0 = st[r1 -- fs '] .refval ∨ r0 ∈ refs) → junkref(str0, st[r1 -- fs '] .refval, st0) ⊦ r = r1, r = jvmref, r1 = jvmref, junkref(str, r1, st), r ≠ st[r1 -- fs '] .refval ∧ ¬ r ∈ refs

Rule argument

[speclemmaarg: , class = fs .class ∧ ty = fs .type ∧ fieldvar = fs .field ↔ fs = mkfs(class, ty, fieldvar) ,[fs, class, ty, fieldvar] → [fs, class, ty3, 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, ty3, fieldvar)]]