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Theorem nodes-cons-rec

⊦ nodes-cons(adr ' + ax, nd ' + ndx, gstore, ginval) ↔ adr ∈ gstore ∧ ¬ adr.lnum ∈ ginval ∧ gstore[adr].nd = nd ∧ nodes-cons(ax, ndx, gstore, ginval)

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

View the proof

Infos about the proof

Proved?: Yes
Interactions: 6
Proof steps: 23
Used lemmas: nodes-cons,
Used spec theorems:
- list-del/address-list-set/get-append-grt
Used simplifier rules:
- address-data/elim
- groupnode/elim
- nat-basic/eq-01
- list/node-list/len-05
- nat-basic/succ
- list/address-list-set/len-05
- list-del/address-list-set/get-zero-01
- nat-basic/zero-01
- nat-basic/s-04
- list-del/address-list-set/get-succ
- nat/lels
- list-del/address-list-set/get-append-less
- list/address-list-set/a
- list-del/address-list-set/one-03
- address-data/inj
- nat/lez
- list-del/node-list/get-zero-01
- groupnode/inj
- nat-basic/one-01
- list/address-list-set/len-02
- nat/elim-pred-c
- list-data/node-list/l
- nat-basic/lf-01
- nat-basic/f
- list/node-list/a
- list-del/node-list/get-succ
- nat/succ-01
- nat-basic/c
- nat-basic/a
- nat-basic/oz
- address-data/sel-03
- groupnode/sel