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Theorem in-nodes-down-at-same

⊦ adr ∈ nodes(gstore ↓, ginval) ∧ gstore[adr] = gnd → gstore ↓[adr] = gstore[adr]

Type: A user defined theorem
Validity: The proof is valid.
Features: s, ls,
Comment:
Used by:
Used by units in proved state: gjournal-refine,
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 5
Proof steps: 15
Used lemmas: valid-group-nodes-entire, down-block, down-store-in, down-store-adr-in-explicit-simp, down-store-at, down-store-adr-in-explicit, nodes-gstore-in,
Used spec theorems:
- ablock-store-inv/group-store/at
- ablock-store-inv/group-store/in
- list-prefixn/group-store/in-prefixn-at-smaller
Used simplifier rules:
- address-data/elim
- ablock/group-store/elim
- store/group-store-ablock-store-nat-store/notmemlookup
- ablock/group-store/sel-01
- list-prefixn/laddress-list/in-prefixn-samepos
- ablock/group-store/inj
- address-data/sel-03
- address-data/sel-04
- address-data/sel-05
- ablock/group-store/sel-02
- list-prefixn/laddress-list/prefixn-in
- list-prefixn/laddress-list/in-prefixn-pos-smaller
- nat/lels
- list-prefixn/laddress-list/in-prefixn-pos-smaller0
- list-prefixn/group-store/prefixn-fulln