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Proof step 22 from proof junkrefs-notin (previous step)

acc + r ' = st[r0 -- fs '] .refval ' + refs, st[r0 -- _type] .type ≤ ty, is_obj(str, r0, st), junkrefs(str, acc + r ', fs .type, st), is_referencevalue(st[r0 -- fs ']), fs ' ∈ instfields(st[r0 -- _type] .type .class), ∀ str, r, refs0, ty, st. (junkrefs(str, acc + r ' + refs0, ty, st) ↔ junkrefs(str, acc + r ', ty, st)) ∨ r ∈ st ⊦ r0 = jvmref, r ∈ st, ∃ fs0. fs0 ' ∈ instfields(st[r0 -- _type] .type .class) ∧ is_referencevalue(st[r0 -- fs0 ']) ∧ st[r0 -- fs '] .refval = st[r0 -- fs0 '] .refval ∧ junkrefs(str, acc + r ' + refs0, fs0 .type, st), r ≠ st[r0 -- fs '] .refval ∧ ¬ r ∈ refs, ¬ st[r0 -- fs '] .refval ∈ acc ∧ st[r0 -- fs '] .refval ≠ r

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 21:
fs = mkfs(class, ty0, fieldvar), acc + r ' = st[r0 -- fs '] .refval ' + refs, st[r0 -- _type] .type ≤ ty, is_obj(str, r0, st), junkrefs(str, acc + r ', ty0, st), is_referencevalue(st[r0 -- fs ']), fs ' ∈ instfields(st[r0 -- _type] .type .class), ∀ str, r, refs0, ty, st. (junkrefs(str, acc + r ' + refs0, ty, st) ↔ junkrefs(str, acc + r ', ty, st)) ∨ r ∈ st ⊦ r0 = jvmref, r ∈ st, ∃ fs0. fs0 ' ∈ instfields(st[r0 -- _type] .type .class) ∧ is_referencevalue(st[r0 -- fs0 ']) ∧ st[r0 -- fs '] .refval = st[r0 -- fs0 '] .refval ∧ junkrefs(str, acc + r ' + refs0, fs0 .type, st), r ≠ st[r0 -- fs '] .refval ∧ ¬ r ∈ refs, ¬ st[r0 -- fs '] .refval ∈ acc ∧ st[r0 -- fs '] .refval ≠ r

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)]]