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Proof step 25 from proof validreflist-getarray-less-01 (previous step)

¬ (r ≠ jvmref ∧ ¬ validref(str, st[r -- j '] .refval, ty, st) ∧ 0 ≤ j ∧ j < st[r -- _length] .intval), validreflist(str, getarray(r, j + 1, i1, st), ty, st), 0 ≤ i1, is_reftype(ty), validref(str, r, mkarraytype(ty), st), j + i1 + 1 < st[r -- _length] .intval, 0 ≤ j, ∀ 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, is_referencevalue(st[r -- j ']) ∧ validref(str, st[r -- j '] .refval, ty, st)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 7:
⊦ validref(str, jvmref, ty, st)
Proof step 24:
validreflist(str, getarray(r, j + 1, i1, st), ty, st), 0 ≤ i1, is_reftype(ty), validref(str, r, mkarraytype(ty), st), j + i1 + 1 < st[r -- _length] .intval, 0 ≤ j, j < st[r -- _length] .intval, 0 < st[r -- _length] .intval, ∀ 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, is_referencevalue(st[r -- j '])

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPFORWARD : ⊦ i < j ∧ 0 ≤ i → 0 < j], [CSIMPSEQ : ⊦ ¬ is_referencevalue(val) → val .refval = jvmref], [CSIMPSEQ : ⊦ i + j = j + i], [CSIMPSEQ : ⊦ i + j + i0 = (i + j) + i0], [CSIMPSEQ : ⊦ 0 ≤ i ∧ 0 ≤ j → ¬ i + j < 0], [CSIMPSEQ : ⊦ i + j < j ↔ i < 0], [CSIMPFORWARD : ⊦ i < j ∧ j ≤ j0 → i < j0], [CSIMPSEQ : ⊦ ¬ i < j ↔ j ≤ i], [CSIMPSEQ : ⊦ i ≤ j → (¬ ¬ j < i ↔ false)], [CSIMPSEQ : ⊦ ¬ i ≤ j ↔ j < i])]]