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Theorem dll-trav-end

hd0 ≠ null ⊦ h(hd0) = mknode(cur, a, null) → ( (dll-trav(prv, hd, lst, cur, hd0, lst0, null, x) * hP)(h) ↔ x ≠ [] ∧ (cur = null ⊃ hd = hd0 ∧ lst = lst0 ∧ (dlls(hd, lst, prv, null, x) * hP)(h) ; hd0 = lst0 ∧ (∃ y, b. x = (y + b) + a ∧ (dlls(hd, lst, prv, cur, y) * cur => mknode(lst, b, hd0) * hd0 => mknode(cur, a, null) * hP)(h)) ))

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

View the proof

Infos about the proof

Proved?: Yes
Interactions: 2
Proof steps: 15
Used lemmas: dlls-last-one, dlls-last-head-null, dlls-last-rec, ll-trav-nonnull, dlls-last-base, dll-trav-null,
Used spec theorems:
- Used simplifier rules: