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Theorem iterate-subseq

monotone(f) ⊦ ((f ^ n))(∅) ⊆ ((f ^ (n + 1)))(∅)

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

View the proof

Infos about the proof

Proved?: Yes
Interactions: 4
Proof steps: 10
Used lemmas: empty-def, iterate-base, iterate-rec,
Used spec theorems:
- monotone-set-fixpoint/subseteq-def
- monotone-set-fixpoint/monotone-def
Used simplifier rules: