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Proof step 101 from proof unchanged-junkrefs-level (previous step)

st[r -- _length] = st1[r -- _length], st[r -- i '] = refval(r1), st1[r -- _type] = st[r -- _type], 0 < st1[r -- _length] .intval, is_array(str0, r, st), unchangedNorec(r, st, st1), is_array(str, r, st), 0 ≤ i, is_array(str, r, st1), is_valid_ref(str0, r, st1), st[r -- _type] .type ≤ ty, i < st1[r -- _length] .intval, junkrefs(str, r1 ' + refs, st[r -- _type] .type .type, st), is_arraytype(st[r -- _type] .type), unchanged(str0, r, st, st1), level⊆(str, str0), ∀ i0. ¬ i0 < 0 ∧ ¬ st1[r -- _length] .intval ≤ i0 → st[r -- i0 '] = st1[r -- i0 '], ∀ r0. (path∃(str0, r, r0, st) ↔ path∃(str0, r, r0, st1)) ∧ (path∃(str0, r, r0, st) → unchangedNorec(r0, st, st1)), ∀ str1, st0, st2, str2, ty0. unchanged(str1, r1, st0, st2) ∧ junkrefs(str2, r1 ' + refs, ty0, st0) ∧ level⊆(str2, str1) → junkrefs(str2, r1 ' + refs, ty0, st2) ⊦ r = jvmref, is_referencevalue(st1[r -- i ']) ∧ r1 = st1[r -- i '] .refval ∧ junkrefs(str, st1[r -- i '] .refval ' + refs, st[r -- _type] .type .type, st1)

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Rule argument

[x0lemmaarg: spec-name: javatype instance-name: lemma-name: elim-01 antecedent: succedent: is_arraytype(ty) → (ty0 = ty .type ↔ ty = mkarraytype(ty0)) substlist: [ty, ty0] → [st[r -- _type] .type, ty1] add preconditions?: F is rewrite lemma?: F current spec?: F rotate lemma?: T replace all?: T paths: () dummy: () ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPELIM : ⊦ is_arraytype(ty) → ( ty0 = ty .type ↔ ty = mkarraytype(ty0))])], [EXTRATERMS : (st[r -- _type] .type, ty1)]]