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Theorem reach-alloc

⊦ reachable(r, r1, H) → r1 ∈ H

Type: A user defined theorem
Validity: The proof is valid.
Features: localforward, forward,
Comment:
Used by: acyclic-rem-not-reachable, add-preserves-reachable, add-preserves-reachable-rev, changenonnxt-reachable, changenonnxt-reachable-rev, frommodified, fromnext-reachable, fromnext-reachable-rev, id-reachable, linearity, modified-stays-reachable, modnotreachable-reachable, modnotreachable-reachable-rev, notnull-reachable, null-not-reachable, reach-reachnext, reachable-addnew, reachable-addnew-rev, reachable-addnewtonull-rev, reachable-modbehind, reachable-notnullinH, reachable-split-first, reachable-split-last, reachable-trans, reachable-trans-simp, rem-reachable, rem-reachable-rev-weak, rem-stays-reachable-aux, rem-stays-reachable-aux1, rem-stays-reachable-aux2, removed-stays-reachable, startnotinH-notreachable,
Used by units in proved state:
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 1
Proof steps: 2
Used lemmas: path-last, reachable-def,
Used spec theorems:
- Used simplifier rules:
  - list/reflist/a