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Proof step 51 from proof getarray-subset (previous step)

0 < st0[r -- _length] .intval, n < i→n(st0[r -- _length] .intval), r ∈ st, r -- _length ∈ st, is_array(r, st), st ⊆ st0, n < # getarray(r, st0) ⊦ getarray(r, st0) = [], st0[r -- _length] .intval = 0, noval = st0[r -- n→i(n) '], r -- n→i(n) ' ∈ st

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 16:
⊦ is_array(r, st) ↔ r ≠ jvmref ∧ r -- _type ∈ st ∧ is_typevalue(st[r -- _type]) ∧ is_arraytype(st[r -- _type] .type) ∧ okarray(r, st[r -- _type] .type .type, st)
Proof step 50:
0 < st0[r -- _length] .intval, n < i→n(st0[r -- _length] .intval), r ∈ st, r -- _length ∈ st, r ≠ jvmref ∧ r -- _type ∈ st ∧ is_typevalue(st[r -- _type]) ∧ is_arraytype(st[r -- _type] .type) ∧ okarray(r, st[r -- _type] .type .type, st), st ⊆ st0, n < # getarray(r, st0) ⊦ getarray(r, st0) = [], st0[r -- _length] .intval = 0, noval = st0[r -- n→i(n) '], r -- n→i(n) ' ∈ st

Rule argument

[crewrite-arg: is-any-array, F, [st, r] → [st, r]]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (st, r)]]