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Theorem oc-put-toAr

⊦ m < #r mx ∧ n < #c mx → #oc(i, (mx[m, n := j]).toArr) = #oc(i, mx.toArr) + (i = j ⊃ 1;0) - (mx[m, n] = i ⊃ 1;0)

Type: A user defined theorem
Validity: The proof is valid.
Features: ls,
Comment:
Used by: oc-toArr-toArc,
Used by units in proved state:
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 3
Proof steps: 5
Used lemmas: oc-put-toArr-rec, toArr-def,
Used spec theorems:
- Used simplifier rules: