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Theorem in-init-06

fs ' ≠ _type, fs ' ≠ _length ⊦ r -- fs ' ∈ addarray(r0, ty, vals, st) ↔ r -- fs ' ∈ st

Type: A user defined theorem
Validity: The proof is valid.
Features: simp, localsimp,
Comment:
Used by: in-init-05, putarray-addarray-override, union-addarray-rew,
Used by units in proved state:
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 2
Proof steps: 4
Used lemmas: in-init-03, addarrayinit-def,
Used spec theorems:
- store/javastore/in-neq
Used simplifier rules:
- refkey/inj
- storefuns/instore-01
- refkey/inj-01
- store/javastore/In-insert