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Proof step 154 from proof compat-addclass (previous step)

is_arraytype(st[r -- _type] .type) ∧ r -- _length ∈ st ∧ is_integervalue(st[r -- _length]) ∧ 0 ≤ st[r -- _length] .intval ∧ is_arrayref(r, st[r -- _length] .intval, st) ∧ (∀ j. 0 ≤ j ∧ j < st[r -- _length] .intval → compat(str, st[r -- j '], st[r -- _type] .type .type, st)), fis .keys = statfields(class), st[r -- _type] = typeval(mkarraytype(ty0)), r ∈ st, r -- _type ∈ st, okfieldinits(class, fis), compatstatic(str, st), compatmode(str, st), ¬ has_classtype(ty0) ∨ tdname+∃(str, ty0 .jtelemtype .class) ⊦ r = jvmref, (0 ≤ j ∧ j < st[r -- _length] .intval → compat(str, st[r -- j '], ty0, addclass(class, fis, st))) ∧ is_arrayref(r, st[r -- _length] .intval, st) ∧ ¬ st[r -- _length] .intval < 0 ∧ is_integervalue(st[r -- _length]) ∧ r -- _length ∈ addclass(class, fis, st)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 153:
st[r -- _type] = typeval(mkarraytype(ty0)), fis .keys = statfields(class), 0 < st[r -- _length] .intval, 0 ≤ j, 0 ≤ st[r -- _length] .intval, j < st[r -- _length] .intval, compatmode(str, st), compatstatic(str, st), okfieldinits(class, fis), r -- _type ∈ st, r ∈ st, is_arrayref(r, st[r -- _length] .intval, st), is_integervalue(st[r -- _length]), r -- _length ∈ st, ¬ has_classtype(ty0) ∨ tdname+∃(str, ty0 .jtelemtype .class), ∀ j0. ¬ j0 < 0 ∧ ¬ st[r -- _length] .intval ≤ j0 → compat(str, st[r -- j0 '], ty0, st) ⊦ r = jvmref, compat(str, st[r -- j '], ty0, addclass(class, fis, st))

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 : ⊦ rk ∈ st → rk ∈ addclass(class, fis, st)], [CSIMPSEQ : ⊦ i ≤ j → (¬ ¬ j < i ↔ false)], [CSIMPSEQ : ⊦ ¬ i < j ↔ j ≤ i], [CSIMPSEQ : ⊦ ¬ i ≤ j ↔ j < i])]]