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Theorem Inv-main-reduce

⊦ Inv-main(A, A0, i) → ( Inv-main(A1, A2, i0) ↔ # A ≠ 0 ∧ # A = # A0 ∧ i ≤ # A ∧ sorted(A, 0, i) ∧ perm(A, A0) → # A1 ≠ 0 ∧ # A1 = # A2 ∧ i0 ≤ # A1 ∧ sorted(A1, 0, i0) ∧ perm(A1, A2))

Type: A user defined theorem
Validity: The proof is valid.
Features: lss, ss,
Comment: Generated lemma variant 1 for lemma: Inv-main
Used by:
Used by units in proved state: pair-insertion-sort,
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 0
Proof steps: 2
Used lemmas: Inv-main,
Used spec theorems:
- Used simplifier rules:
  - oarray-sorted/sorted-higher-lower-bound