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Theorem index-update-dom

# kx = # ax ⊦ dom ri[kx, ax] = dom ri ∪ kx.toSet

Type: A user defined theorem
Validity: The proof is valid.
Features: s, ls,
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: 1
Used lemmas:
Used spec theorems:
- Used simplifier rules:
  - list/key-list-set/c
  - list/key-list-set/len-05
  - nat-basic/succ
  - list/key-list-set/a
  - gjournal-base/index-update-dom
  - list+set/key-list-set/toSet-app
  - list+set/key-list-set/toSet-one
  - set-union/node-index/unadd
  - set-union/node-index/une
  - set-union/node-index/una
  - set-union/node-index/unc
  - list-data/key-list-set/size-01
  - list-data/address-list-set/l
  - list-data/address-list-set/size-01
  - list+set/key-list-set/toSet-empty