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Theorem rowperms-dirtyrowsunchanged

#r mx = #r mx0, #c mx = #c mx0, #c mx ≠ 0, ∀ r. r < #r mx → perm(mx0[r]r, mx[r]r) ⊦ #dirtyrows(mx0, i) = #dirtyrows(mx, i) ↔ true

Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment: sorting rows leaves the number of dirty rows for x unchanged
Used by: srowsorted-dirtyboundunchanged,
Used by units in proved state:
Proof exists?: Yes

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Infos about the proof

Proved?: Yes
Interactions: 4
Proof steps: 12
Used lemmas: rowperms-clean1unchanged, rowperms-clean0unchanged, dirtyrows-def,
Used spec theorems:
- Used simplifier rules: