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Proof step 4 from proof compatarray-abstract (previous step)

st[r -- _type] .type = mkarraytype(abstract_type), st[r -- _length] = intval(i), 0 < i, is_arrayref(r, i, st), r -- _length ∈ st, r ∈ st, ¬ 0 < 0 ∧ ¬ i ≤ 0 → compat(str, st[r -- 0 '], abstract_type, st), ∀ j. ¬ j < 0 ∧ ¬ i ≤ j → compat(str, st[r -- j '], abstract_type, st) ⊦ r = jvmref, i = 0

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 3:
st[r -- _type] .type = mkarraytype(abstract_type), st[r -- _length] = intval(i), 0 < i, is_arrayref(r, i, st), r -- _length ∈ st, r ∈ st, compat(str, st[r -- 0 '], abstract_type, st), ∀ j. ¬ j < 0 ∧ ¬ i ≤ j → compat(str, st[r -- j '], abstract_type, st) ⊦ r = jvmref, i = 0

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ i < j → ¬ j < i], [CSIMPSEQ : ⊦ i ≠ j → (i ≤ j ↔ i < j)])]]