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Theorem at-put-first-rec-04

str ≠ str0 ⊦ (st[r -- mkfs(class, ty, ((* str)) .field) ', val][r0 -- (mkfs(class0, ty0, str0 .field) ' ' + sk1 ' + sks)]) = (st[r -- mkfs(class, ty, str .field) ', val][st[r0 -- mkfs(class0, ty0, str0 .field) '] .refval -- (sk1 ' + sks)])

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

View the proof

Infos about the proof

Proved?: Yes
Interactions: 1
Proof steps: 2
Used lemmas: at-put-first-rec,
Used spec theorems:
- Used simplifier rules:
  - storekey/inj-03
  - fieldspec/inj
  - fieldname/inj
  - list/storekeys/app-02-ant
  - list/storekeys/e
  - list/storekeys/a