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Proof step 7 from proof unchNorec-isarray-01 (previous step)

is_array(r, st), type∃(str, st[r -- _type] .type), unchangedNorec(r, st, st0) ⊦ st[r -- _type] .type .jtelemtype = void_type, st[r -- _type] .type .jtelemtype = abstract_type, is_array(str, r, st0)

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 6:
is_array(r, st), type∃(str, st[r -- _type] .type), unchangedNorec(r, st, st0) ⊦ st[r -- _type] .type .jtelemtype = void_type, st[r -- _type] .type .jtelemtype = abstract_type, type∃(str, st0[r -- _type] .type) ∧ st0[r -- _type] .type .jtelemtype ≠ void_type ∧ st0[r -- _type] .type .jtelemtype ≠ abstract_type ∧ is_array(r, st0)

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] → [st0, r, str] add preconditions?: F is rewrite lemma?: T current spec?: F rotate lemma?: F replace all?: T paths: ((1, 0, 2)) dummy: () ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (st0, r, str)]]