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Proof step 7 from proof validref-forward-array (previous step)

st0[r -- _type] .type = mkarraytype(ty0), st0[r -- i '] = refval(r0), 0 < st0[r -- _length] .intval, 0 ≤ i, i < st0[r -- _length] .intval, is_array(str, r, st0), ty0 ≤ ty, i < 0 ∨ st0[r -- _length] .intval ≤ i ∨ ¬ is_referencevalue(st0[r -- i ']) ∨ st0[r -- i '] .refval = jvmref ∨ st0[st0[r -- i '] .refval -- _type] .type ≤ ty0 ∧ validref(str, st0[r -- i '] .refval, ty0, st0) ⊦ r = jvmref, validref(str, r0, ty, st0)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 4:
⊦ validref(str, jvmref, ty, st)
Proof step 6:
st0[r -- i '] = refval(r0), st0[r -- _type] .type = mkarraytype(ty0), ty0 ≤ ty, is_array(str, r, st0), i < st0[r -- _length] .intval, 0 ≤ i, 0 < st0[r -- _length] .intval, st0[r0 -- _type] .type ≤ ty0, validref(str, r0, ty0, st0), st0[r0 -- _type] .type ≤ ty ⊦ r = jvmref, r0 = jvmref, validref(str, r0, ty, st0)

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPFORWARD : ⊦ ty ≤ ty0 ∧ ty0 ≤ ty1 → ty ≤ ty1], [CSIMPSEQ : ⊦ refval(r) .refval = r], [CSIMPSEQ : ⊦ is_referencevalue(refval(r))], [CSIMPSEQ : ⊦ i < j → (¬ ¬ j ≤ i ↔ false)], [CSIMPSEQ : ⊦ i ≤ j → (¬ ¬ j < i ↔ false)])]]