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Theorem mon-pis

⊦ fragω(Π(IOAut(lstart, lstep, lext), IOAut(rstart, rstep, rext), lren, rren))(psf, paf) → mon(⌜λ n. ⌜πrs(lstep, rstep, lren, rren, psf.take(n + 1), paf.take(n))⌝ ⌝ )

Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by: inffrag-lim-size-pis-pia, inffrag-pis-lim-init, proj-exec-inf, projstate-infrec-addR, projstate-infrec-addboth,
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: pis-mon,
Used spec theorems:
- streamseq-mon-lim/mon-def
Used simplifier rules: