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Theorem size-toArc

n < #c mx ⊦ # toArc(mx, n) = n * #r mx

Type: A user defined theorem
Validity: The proof is valid.
Features: ls, s,
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: 4
Used lemmas: toArc-rec, toArc-base,
Used spec theorems:
- Used simplifier rules:
  - list-data/list-as-arrayinstance/size-nil
  - nat-mult/zero
  - nat-mult/mult-a
  - nat-mult/mult-c
  - nat-basic/f
  - nat-basic/succ
  - nat-basic/c
  - nat-basic/a
  - nat-basic/eq-01
  - nat-mult/rsucc-02
  - list/list-as-arrayinstance/a
  - matrix+array/selcol-size
  - list/list-as-arrayinstance/len
  - nat-basic/nls-fst