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Proof step 13 from proof validrefs-not-in (previous step)

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

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 12:
fs = mkfs(class, ty0, fieldvar), is_obj(str, r0, st), st[r0 -- _type] .type ≤ ty, ∀ r, str, ty, st. r ∈ acc ∧ validrefs(str, acc, ty, st) → r = jvmref ∨ is_valid_ref(r, st) ∧ type∃(str, st[r -- _type] .type), acc = [] ∨ fs ' ∈ instfields(st[r0 -- _type] .type .class) ∧ is_referencevalue(st[r0 -- fs ']) ∧ acc .first = st[r0 -- fs '] .refval ∧ validrefs(str, acc, ty0, st) ⊦ r0 = jvmref, r = jvmref, r ≠ r0 ∧ ¬ r ∈ acc, is_valid_ref(r, st) ∧ type∃(str, st[r -- _type] .type)

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)]]