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Proof step 24 from proof validrefs-put-badclassfield-01 (previous step)

acc .first = st[r -- fs0 '] .refval, st[r0 -- _type] .type = mkclasstype(class), validrefs(str, acc, fs0 .type, st), is_referencevalue(st[r -- fs0 ']), fs0 ' ∈ instfields(st[r -- _type] .type .class), st[r -- _type] .type ≤ ty, is_obj(str, r, st), is_classtype(st[r -- _type] .type), is_obj(str, r, st[r0 -- fs ', val]), junkref(str, acc .first, st), r ≠ r0 ∨ fs0 ≠ fs ⊦ acc = [], fs ' = _type, r = jvmref, validrefs(str, acc, fs0 .type, st[r0 -- fs ', val]), r ∈ acc .butlast, dups(acc .butlast), junkref(str, r, st[r0 -- fs ', val]), junkref(str, r, st), fs ' ∈ instfields(class)

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 23:
acc = r1 + refs, r1 = st[r -- fs0 '] .refval, st[r0 -- _type] .type = mkclasstype(class), validrefs(str, acc, fs0 .type, st), is_referencevalue(st[r -- fs0 ']), fs0 ' ∈ instfields(st[r -- _type] .type .class), st[r -- _type] .type ≤ ty, is_obj(str, r, st), is_classtype(st[r -- _type] .type), is_obj(str, r, st[r0 -- fs ', val]), junkref(str, r1, st), r ≠ r0 ∨ fs0 ≠ fs ⊦ acc = [], fs ' = _type, r = jvmref, validrefs(str, acc, fs0 .type, st[r0 -- fs ', val]), r ∈ acc .butlast, dups(acc .butlast), junkref(str, r, st[r0 -- fs ', val]), junkref(str, r, st), fs ' ∈ instfields(class)

Rule argument

[speclemmaarg: refs ≠ [] ,r = refs .first ∧ refs0 = refs .rest ↔ refs = r + refs0 ,[refs, r, refs0] → [acc, r1, refs] ,T ,list-data ,references-olista ,elim-list-c ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPELIM : refs ≠ [] ⊦ r = refs .first ∧ refs0 = refs .rest ↔ refs = r + refs0])], [EXTRATERMS : (acc, r1, refs)]]