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Theorem srowsorted-dirtyboundunchanged

#c mx ≠ 0, #r mx = #r mx0, #c mx = #c mx0 ⊦ mx0.dirtyrows≤(bound) ∧ srowsorted(mx, #r mx0, mx0) → mx.dirtyrows≤(bound)

Type: A user defined theorem
Validity: The proof is valid.
Features: lss,
Comment: sorting rows preserves the bound on the number of dirty rows
Used by: shearsort-correct, sortrowssnake-correct,
Used by units in proved state:
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 4
Proof steps: 7
Used lemmas: srowsorted-permrow, rowperms-dirtyrowsunchanged, dirtyrowsbound-def,
Used spec theorems:
- Used simplifier rules: