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Proof step 19 from proof validrefs-trans-01 (previous step)

st[r -- i '] = refval(r0), st[r -- _type] .type ≤ ty, 0 < st[r -- _length] .intval, 0 ≤ i, validrefs(str, r0 ', st[r -- _type] .type .type, st), i < st[r -- _length] .intval, is_array(str, r, st), validrefs(str, r0 ' + refs1, ty0, st), ∀ str0, ty1, st0, refs, ty2. validrefs(str0, r0 ', ty1, st0) ∧ validrefs(str0, r0 ' + refs, ty2, st0) → validrefs(str0, r0 ' + refs, ty1, st0) ⊦ r = jvmref, ∃ i0. ¬ i0 < 0 ∧ ¬ st[r -- _length] .intval ≤ i0 ∧ is_referencevalue(st[r -- i0 ']) ∧ r0 = st[r -- i0 '] .refval ∧ validrefs(str, st[r -- i0 '] .refval ' + refs1, st[r -- _type] .type .type, st)

User applied rule exists right

And obtained the following new goals

Proof step 18:
st[r -- i '] = refval(r0), st[r -- _type] .type ≤ ty, 0 < st[r -- _length] .intval, 0 ≤ i, validrefs(str, r0 ', st[r -- _type] .type .type, st), i < st[r -- _length] .intval, is_array(str, r, st), validrefs(str, r0 ' + refs1, ty0, st), ∀ str0, ty1, st0, refs, ty2. validrefs(str0, r0 ', ty1, st0) ∧ validrefs(str0, r0 ' + refs, ty2, st0) → validrefs(str0, r0 ' + refs, ty1, st0) ⊦ r = jvmref, ¬ i < 0 ∧ ¬ st[r -- _length] .intval ≤ i ∧ is_referencevalue(st[r -- i ']) ∧ r0 = st[r -- i '] .refval ∧ validrefs(str, st[r -- i '] .refval ' + refs1, st[r -- _type] .type .type, st)

Rule argument

[EXRARG : pos: right 2, [extquanttermlist: (i)abort:F, discard:T, computed:T]]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (i)]]