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Proof step 52 from proof isarray-put-array-badindex (previous step)

i < 0 ⊦ is_array(r0, st[r -- i ', val]) ↔ r0 ≠ jvmref ∧ r0 -- _type ∈ st ∧ is_typevalue(st[r0 -- _type]) ∧ is_arraytype(st[r0 -- _type] .type) ∧ okarray(r0, st[r0 -- _type] .type .type, st)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 2:
⊦ 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 51:
i < 0 ⊦ r0 ≠ jvmref ∧ r0 -- _type ∈ st[r -- i ', val] ∧ is_typevalue(st[r -- i ', val][r0 -- _type]) ∧ is_arraytype((st[r -- i ', val][r0 -- _type]) .type) ∧ okarray(r0, (st[r -- i ', val][r0 -- _type]) .type .type, st[r -- i ', val]) ↔ r0 ≠ jvmref ∧ r0 -- _type ∈ st ∧ is_typevalue(st[r0 -- _type]) ∧ is_arraytype(st[r0 -- _type] .type) ∧ okarray(r0, st[r0 -- _type] .type .type, st)

Rule argument

[x0lemmaarg: spec-name: instance-name: lemma-name: is-any-array antecedent: succedent: 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) substlist: [st, r] → [st[r -- i ', val], r0] add preconditions?: F is rewrite lemma?: T current spec?: T rotate lemma?: F replace all?: T paths: ((1, 0, 0, 1, 0)) dummy: () ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (st[r -- i ', val], r0)]]