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Theorem add-in-02

⊦ r ∈ addobj(r0, class1, fis, st) ↔ r = r0 ∨ r ∈ st

Type: A user defined theorem
Validity: The proof is valid.
Features: simp, localsimp,
Comment:
Used by: add-in, add-in-01, add-in-04, add-refs, add-reftype, add-reftype-01, add-reftype-02, new-add, newref-addobj-in,
Used by units in proved state:
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 4
Proof steps: 10
Used lemmas: addobj-rec, addobj-base,
Used spec theorems:
- storefuns/instore-02
Used simplifier rules:
- list/fieldinit-assoclista/a
- list/fieldinit-assoclista/c
- storefuns/instore-02