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Proof step 114 from proof compat-put (previous step)

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])

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 113:
st[r0 -- _type] = typeval(mkarraytype(ty1)), st[r0 -- _length] = intval(i), 0 < i, 0 ≤ i, r0 -- _length ∈ st, is_arrayref(r0, i, st), r0 ∈ st, r0 -- _type ∈ st, r0 ∈ st[r -- mkfs(class, ty, fieldvar) ', val], r0 -- _type ∈ st[r -- mkfs(class, ty, fieldvar) ', val], compatmode(str, st), compatstatic(str, st), compat(str, val, ty, st), j < i, 0 ≤ j, ∀ j0. ¬ j0 < 0 ∧ ¬ i ≤ j0 → compat(str, st[r0 -- j0 '], ty1, st), ¬ has_classtype(ty1) ∨ tdname+∃(str, ty1 .jtelemtype .class) ⊦ mkfs(class, ty, fieldvar) ' = _length, ty = void_type, r0 = jvmref, compat(str, st[r0 -- j '], ty1, st[r -- mkfs(class, ty, fieldvar) ', val])

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ is_integervalue(intval(i))], [CSIMPFORWARD : ⊦ i ≤ j ∧ 0 ≤ i → 0 ≤ j], [CSIMPFORWARD : ⊦ i < j ∧ 0 ≤ i → 0 < j])]]