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Theorem abs-istore-reduce-write

# lpt = # avol ⊦ abs-istore(avol, lpt, istore) → ( abs-istore(avol[n, aleb], lpt[n, lp], istore[n, iblock]) ↔ n < # lpt ∧ ((lpt[n].flags = LP_INDEX_NODES → lpt[n].ref-size = istore[n].ref-size) → lp.ref-size = iblock.ref-size ∧ lp.flags = LP_INDEX_NODES) ∧ ((lpt[n].flags = LP_INDEX_NODES → abs-leb(avol[n], istore[n], lpt[n])) → abs-leb(aleb, iblock, lp)))

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

View the proof

Infos about the proof

Proved?: Yes
Interactions: 3
Proof steps: 25
Used lemmas: abs-istore-def,
Used spec theorems:
- Used simplifier rules:
  - array/lp-array/Size-put
  - ablock/index-store/elim
  - lprops/elim
  - elem-index/gc-heap-base/sel-01-M03
  - elem-index/gc-heap-base/sel-01-M01
  - ablock/index-store/sel-03
  - nat-basic/lf-01
  - nat-basic/f
  - array/lp-array/Put-other
  - store/index-store-ablock-store-nat-store/At-other
  - store/index-store-ablock-store-nat-store/in-neq
  - array/avolume/Put-other
  - array/avolume/Put-same
  - store/index-store-ablock-store-nat-store/insin
  - ablock/index-store/inj
  - store/index-store-ablock-store-nat-store/At-same
  - lprops/inj
  - array/lp-array/cgetput
  - nat/ls-le-simp
  - nat/lels
  - store/index-store-ablock-store-nat-store/notmemlookup