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Proof step 115 from proof compat-put (previous step)

st[r0 -- _type] = typeval(mkarraytype(ty1)), 0 < st[r0 -- _length] .intval, 0 ≤ j, 0 ≤ st[r0 -- _length] .intval, j < st[r0 -- _length] .intval, compat(str, val, ty, st), compatstatic(str, st), compatmode(str, st), r0 -- _type ∈ st[r -- mkfs(class, ty, fieldvar) ', val], r0 ∈ st[r -- mkfs(class, ty, fieldvar) ', val], r0 -- _type ∈ st, r0 ∈ st, is_arrayref(r0, st[r0 -- _length] .intval, st), is_integervalue(st[r0 -- _length]), r0 -- _length ∈ st, ¬ has_classtype(ty1) ∨ tdname+∃(str, ty1 .jtelemtype .class), ∀ j0. ¬ j0 < 0 ∧ ¬ st[r0 -- _length] .intval ≤ j0 → compat(str, st[r0 -- j0 '], ty1, st) ⊦ r0 = jvmref, ty = void_type, mkfs(class, ty, fieldvar) ' = _length, compat(str, st[r0 -- j '], ty1, st[r -- mkfs(class, ty, fieldvar) ', val])

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 114:
st[r0 -- _length] = intval(i), st[r0 -- _type] = typeval(mkarraytype(ty1)), 0 < i, 0 ≤ j, 0 ≤ i, j < i, compat(str, val, ty, st), compatstatic(str, st), compatmode(str, st), r0 -- _type ∈ st[r -- mkfs(class, ty, fieldvar) ', val], r0 ∈ st[r -- mkfs(class, ty, fieldvar) ', val], r0 -- _type ∈ st, r0 ∈ st, is_arrayref(r0, i, st), is_integervalue(st[r0 -- _length]), r0 -- _length ∈ st, ¬ has_classtype(ty1) ∨ tdname+∃(str, ty1 .jtelemtype .class), ∀ j0. ¬ j0 < 0 ∧ ¬ i ≤ j0 → compat(str, st[r0 -- j0 '], ty1, st) ⊦ r0 = jvmref, ty = void_type, mkfs(class, ty, fieldvar) ' = _length, compat(str, st[r0 -- j '], ty1, st[r -- mkfs(class, ty, fieldvar) ', val])

Rule argument

[speclemmaarg: ,is_integervalue(val) → (i = val .intval ↔ val = intval(i)) ,[val, i] → [st[r0 -- _length], i] ,T ,javavalue , ,elim-02 ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPELIM : ⊦ is_integervalue(val) → ( i = val .intval ↔ val = intval(i))])], [EXTRATERMS : (st[r0 -- _length], i)]]