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Proof step 16 from proof pathexplus-pathex (previous step)

st[(r ' + refs) .last -- _type] .type = mkclasstype(class), is_obj(str, (r ' + refs) .last, st), is_valid_ref(str, r, st), validrefs(str, r ' + refs + st[(r ' + refs) .last -- fs '] .refval ', mkclasstype(`java.lang.Object' .class), st), validrefs(str, r ' + refs, mkclasstype(`java.lang.Object' .class), st), validrefs(str, st[(r ' + refs) .last -- fs '] .refval ', fs .type, st), is_referencevalue(st[(r ' + refs) .last -- fs ']), fs ' ∈ instfields(class) ⊦ (r ' + refs) .last = jvmref, r = jvmref, r = st[(r ' + refs) .last -- fs '] .refval, ∃ fs0. fs0 ' ∈ instfields(class) ∧ is_referencevalue(st[(r ' + refs) .last -- fs0 ']) ∧ st[(r ' + refs) .last -- fs0 '] .refval = st[(r ' + refs) .last -- fs '] .refval

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Rule argument

[speclemmaarg: , class = fs .class ∧ ty = fs .type ∧ fieldvar = fs .field ↔ fs = mkfs(class, ty, fieldvar) ,[fs, class, ty, fieldvar] → [fs, class0, ty, fieldvar] ,T ,fieldspec , ,elim ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPELIM : ⊦ class = fs .class ∧ ty = fs .type ∧ fieldvar = fs .field ↔ fs = mkfs(class, ty, fieldvar)])], [EXTRATERMS : (fs, class0, ty, fieldvar)]]