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Proof step 32 from proof validreflist-getarray-less-01 (previous step)

i = i1 + 1, 0 < i, 0 ≤ j, 0 ≤ i, j + i < st[r -- _length] .intval, validrefnotnull(str, r, mkarraytype(ty), st), is_reftype(ty), ∀ j, st, r, str, ty, i0. i→n(i0) < i→n(i) → ( is_reftype(ty) ∧ validrefnotnull(str, r, mkarraytype(ty), st) ∧ j + i0 < st[r -- _length] .intval ∧ 0 ≤ i0 ∧ 0 ≤ j → r = jvmref ∨ validreflist(str, getarray(r, j, i0, st), ty, st)) ⊦ r = jvmref, validreflist(str, st[r -- j '] ' + getarray(r, j + 1, i1, st), ty, st)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 31:
0 ≤ j, j + i1 + 1 < st[r -- _length] .intval, validrefnotnull(str, r, mkarraytype(ty), st), is_reftype(ty), 0 ≤ i1, ∀ j, st, r, str, ty, i0. i→n(i0) < i→n(i1 + 1) → ( is_reftype(ty) ∧ validrefnotnull(str, r, mkarraytype(ty), st) ∧ j + i0 < st[r -- _length] .intval ∧ 0 ≤ i0 ∧ 0 ≤ j → r = jvmref ∨ validreflist(str, getarray(r, j, i0, st), ty, st)) ⊦ r = jvmref, validreflist(str, st[r -- j '] ' + getarray(r, j + 1, i1, st), ty, st)

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPFORWARD : ⊦ i ≤ j ∧ 0 ≤ i → 0 ≤ j], [CSIMPSEQ : i0 ≠ 0, i0 ≤ i ⊦ ((* i)) ≤ j → ((* i0)) ≤ j], [CSIMPSEQ : ⊦ ((* j)) ≤ i0 + ((* j0)) ↔ j - j0 ≤ i0], [CSIMPSEQ : ⊦ i + j = j + i], [CSIMPSEQ : ⊦ i + j + i0 = (i + j) + i0], [CSIMPSEQ : ⊦ (~1) < i ↔ 0 ≤ i], [CSIMPSEQ : ⊦ ((* j)) < i0 + ((* j0)) ↔ j - j0 < i0])]]