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Theorem isobj-subset

⊦ st ⊆ st1 ∧ is_obj(r, st) → is_obj(r, st1)

Type: A user defined theorem
Validity: The proof is valid.
Features: simp, localsimp,
Comment:
Used by: is_obj-subset, isobj-union-disjoint,
Used by units in proved state:
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 11
Proof steps: 27
Used lemmas: is_obj-def, is-any-object,
Used spec theorems:
- store/javastore/Subset
- okfuns/gfts-all
- okfuns/good-field-field
Used simplifier rules:
- fieldspec/elim
- storekey/test-05
- storekey/elim-03
- okfuns/good-field-field
- storekey/test-01
- okfuns/good-field-index
- store/javastore/In-store
- javatype/sel-02
- javavalue/sel-11
- javavalue/test-92
- javavalue/elim-10
- javatype/test-10
- javatype/elim-02
- storefuns/instore-01
- store/javastore/superset-elem-in-01