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Theorem path-one

⊦ path(r ', H) ↔ ¬ ¬(r ∈ H ∧ r ≠ null)

Type: An axiom
Validity: The proof is valid.
Features: simp, localsimp, nokodkodax,
Comment:
Used by: acyclic-rem-not-reachable, add-preserves-reachable, add-preserves-reachable-rev, changenonnxt-reachable, frommodified, k-path, k-reachable-def, linearity, linearity-path, modified-stays-reachable, modnotreachable-reachable, modnotreachable-reachable-rev, modnotreachable-reachable-rev-weak, null-not-reachable, null-not-start-of-path, path-delnonmember, path-first-in-H, path-last, path-modify, path-modify-strong, path-new-irrelevant-strong, path-prefix, path-split-last, path-trans, reach-n-path-n, reach-reachnext, reachable-addnew, reachable-addnew-rev, reachable-addnewtonull-rev, reachable-modbehind, reachable-nodups-def, reachable-trans, reachnext, rem-reachable, rem-reachable-rev-weak, rem-stays-reachable-aux, rem-stays-reachable-aux2, self-reachable,
Used by units in proved state:
Proof exists?: No