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Proof step 26 from proof validrefs-delcycle (previous step)

refs1 .last = jvmref, (acc + r ') .first = st[r0 -- fs '] .refval, is_obj(str, r0, st), st[r0 -- _type] .type ≤ ty, fs ' ∈ instfields(st[r0 -- _type] .type .class), is_referencevalue(st[r0 -- fs ']), validrefs(str, acc + r ' + refs0 + r ' + refs1, fs .type, st), ∀ str, r, refs0, refs1, ty, st. validrefs(str, acc + r ' + refs0 + r ' + refs1, ty, st) ∧ refs1 ≠ [] ∧ refs1 .last = jvmref → validrefs(str, acc + r ' + refs1, ty, st) ⊦ r0 = jvmref, refs1 = [], validrefs(str, (r0 ' + acc) + r ' + refs1, ty, st)

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 25:
fs = mkfs(class, ty0, fieldvar), refs1 .last = jvmref, (acc + r ') .first = st[r0 -- fs '] .refval, is_obj(str, r0, st), st[r0 -- _type] .type ≤ ty, fs ' ∈ instfields(st[r0 -- _type] .type .class), is_referencevalue(st[r0 -- fs ']), validrefs(str, acc + r ' + refs0 + r ' + refs1, ty0, st), ∀ str, r, refs0, refs1, ty, st. validrefs(str, acc + r ' + refs0 + r ' + refs1, ty, st) ∧ refs1 ≠ [] ∧ refs1 .last = jvmref → validrefs(str, acc + r ' + refs1, ty, st) ⊦ r0 = jvmref, refs1 = [], validrefs(str, (r0 ' + acc) + r ' + refs1, ty, st)

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)]]