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Theorem projstate-infrec-addboth

pa = rren(ra) ⊦ Πok(lext, rext, lren, rren) ∧ fragω(IOAut(Π(lstart, rstart), Π(lstep, rstep, lren, rren, lext, rext), Π(lext, rext, lren, rren)))((ls0, rs0) ' + psf, paf) ∧ lstep(ls, la, ls0) ∧ rstep(rs, ra, rs0) ∧ lren(la) = rren(ra) → πrs(lstep, rstep, lren, rren, ⌜(ls, rs) '⌝ + ⌜(ls0, rs0) '⌝ + ⌜psf⌝ , pa + ⌜paf⌝ ) = ⌜rs '⌝ + πrs(lstep, rstep, lren, rren, ⌜(ls0, rs0) '⌝ + ⌜psf⌝ , ⌜paf⌝ )

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

View the proof

Infos about the proof

Proved?: Yes
Interactions: 15
Proof steps: 27
Used lemmas: mon-pis, pis-mon, projstate-rec-addboth, projstate-base, projstate-rec-addboth-one, pis-inf-simp,
Used spec theorems:
Used simplifier rules: