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Theorem fits-append

⊦ fits(r, sks + sks0, st) ↔ fits(r, sks, st) ∧ fits(st[r -- sks] .refval, sks0, st)

Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by: hasSharing-def-better, hasSharing-put-index-refval, hassharing-validrefs-dups, put-switch-primval-field-index, put-switch-primval-index-field, put-switch-primval-index-index, sharing-pathex-field-self, sharing-pathex-field-self-01, sharing-twopaths,
Used by units in proved state:
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 7
Proof steps: 15
Used lemmas: fits-storekeys-rec, fits-storekeys-one, fits-storekeys-empty,
Used spec theorems:
- storefuns/lookup-rec-01
Used simplifier rules:
- javatype/diff
- javavalue/test-19
- javavalue/elim-13
- storekey/test-02
- int-abs/lels-04
- int-abs/lels-03
- storekey/test-01
- int-abs/lels
- int-abs/lels-01
- storekey/test
- storefuns/lookup-one
- list/storekeys/app
- list/storekeys/c
- list/storekeys/Nil
- list/storekeys/a
- storefuns/lookup-empty
- javavalue/sel-09