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Proof step 5 from proof intval-01 (previous step)

st[r -- _type] .type .type = int_type, r -- _length ∈ st, is_integervalue(st[r -- _length]), is_arrayref(r, st[r -- _length] .intval, st), i < st[r -- _length] .intval, 0 ≤ i, 0 < st[r -- _length] .intval, r -- _type ∈ st, is_typevalue(st[r -- _type]), is_arraytype(st[r -- _type] .type), 0 ≤ st[r -- _length] .intval, r ∈ st, ∀ j. ¬ j < 0 ∧ ¬ st[r -- _length] .intval ≤ j → is_integervalue(st[r -- j ']) ⊦ r = jvmref, is_integervalue(st[r -- i '])

User applied rule all left

And closed the goal!

Rule argument

[EXRARG : pos: left 13, [extquanttermlist: (i)abort:F, discard:T, computed:T]]

Additional information

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