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Theorem closeds-subset

⊦ closed(succ, H0) ∧ dom H0 ⊆ dom H1 → (¬ closed(succ, H1) ↔ false)

Type: A user defined theorem
Validity: The proof is valid.
Features: simp, localsimp,
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: 6
Used lemmas: dom, closeds,
Used spec theorems:
- set-union/refset/subdef
Used simplifier rules: