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Theorem ecs-write

⊦ ecs(wlar[m, wle]) = (m < # wlar ⊃ (ecs(wlar) -- wlar[m].ec) ++ wle.ec;ecs(wlar))

Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by: delta-write, delta-write-same, ecs-write-same,
Used by units in proved state:
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 4
Proof steps: 10
Used lemmas: ecs-n-write, ecs,
Used spec theorems:
- Used simplifier rules:
  - array/wlarray-base/Size-put
  - nat/le-def
  - oelem/nat-set/irreflexivity
  - nat/ler
  - nat-basic/f
  - bag-basic/nat-bag/insert-inj
  - wlentry/elim-02
  - nat/lels