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Proof step 116 from proof compat-put (previous step)

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

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 115:
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])

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ mkarraytype(ty) .type = ty], [CSIMPSEQ : ⊦ is_arraytype(mkarraytype(ty))], [CSIMPSEQ : ⊦ typeval(ty) .type = ty], [CSIMPFORWARD : ⊦ i ≤ j ∧ 0 ≤ i → 0 ≤ j], [CSIMPFORWARD : ⊦ i < j ∧ 0 ≤ i → 0 < j], [CSIMPSEQ : ⊦ i ≤ j → (¬ ¬ j < i ↔ false)], [CSIMPSEQ : ⊦ ¬ i < j ↔ j ≤ i], [CSIMPSEQ : ⊦ ¬ i ≤ j ↔ j < i])]]