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Theorem projaction-infrec-addR

⊦ Πok(lext, rext, lren, rren) ∧ fragω(IOAut(Π(lstart, rstart), Π(lstep, rstep, lren, rren, lext, rext), Π(lext, rext, lren, rren)))((ls, rs0) ' + psf, paf) ∧ rstep(rs, ra, rs0) ∧ ¬ cod(lren)(rren(ra)) → πra(lstep, rstep, lren, rren, ⌜(ls, rs) '⌝ + ⌜(ls, rs0) '⌝ + ⌜psf⌝ , rren(ra) + ⌜paf⌝ ) = ⌜ra '⌝ + πra(lstep, rstep, lren, rren, (ls, 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: product-refine,
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 13
Proof steps: 24
Used lemmas: mon-pia, projaction-rec-addR, pia-mon, projaction-base, projaction-rec-addR-one, pia-inf-simp,
Used spec theorems:
Used simplifier rules: