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Proof step 14 from proof is_valid_ref-levelsubset (previous step)

level⊆(str, str0), is_valid_ref(str, r, st) ⊦ is_array(str0, r, st), is_obj(str0, r, st)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 2:
⊦ is_array(str, r, st) ↔ type∃(str, st[r -- _type] .type) ∧ st[r -- _type] .type .jtelemtype ≠ void_type ∧ st[r -- _type] .type .jtelemtype ≠ abstract_type ∧ is_array(r, st)
Proof step 13:
level⊆(str, str0), is_valid_ref(str, r, st) ⊦ type∃(str0, st[r -- _type] .type) ∧ st[r -- _type] .type .jtelemtype ≠ void_type ∧ st[r -- _type] .type .jtelemtype ≠ abstract_type ∧ is_array(r, st), is_obj(str0, r, st)

Rule argument

[x0lemmaarg: spec-name: okfuns instance-name: lemma-name: is-real-array-def antecedent: succedent: is_array(str, r, st) ↔ type∃(str, st[r -- _type] .type) ∧ st[r -- _type] .type .jtelemtype ≠ void_type ∧ st[r -- _type] .type .jtelemtype ≠ abstract_type ∧ is_array(r, st) substlist: [st, r, str] → [st, r, str0] add preconditions?: F is rewrite lemma?: T current spec?: F rotate lemma?: F replace all?: T paths: ((1, 0, 0)) dummy: () ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (st, r, str0)]]