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Theorem is-real-array-def-01

⊦ 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))

Type: A user defined theorem
Validity: The proof is valid.
Features: localsimp,
Comment:
Used by: is_array-abstract, is_array-arraytype, is_array-byte-noref-01, is_array-bytearray, is_array-bytearray-01, is_array-del, is_array-del-01, is_array-is-array, is_array-keyin, is_array-len, is_array-lenfield, is_array-length, is_array-length-01, is_array-length-02, is_array-length-03, is_array-length-05, is_array-length-07, is_array-newref, is_array-notin, is_array-null, is_array-okarray, is_array-okbytearray, is_array-primtype, is_array-put, is_array-put-01, is_array-put-badfield, is_array-put-byte, is_array-put-field, is_array-put-jvmref, is_array-put-okval, is_array-put-samefield, is_array-put-samefield-01, is_array-putbar, is_array-reftype, is_array-subset, is_array-type, is_array-type-01, is_array-typele, is_array-union, is_array-union-disjoint, is_array-update,
Used by units in proved state:
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 0
Proof steps: 1
Used lemmas: is-real-array-def,
Used spec theorems:
- Used simplifier rules: