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Theorem repl-fin-size

⊦ nounsharedextR(cren, cext, ren) ∧ Πok(ext, cext, ren, cren) ∧ frag*(IOAut(Π(start, cstart), Π(step, cstep, ren, cren, ext, cext), Π(ext, cext, ren, cren)))(pcsl, pal) ∧ frag(IOAut(astart, astep, aext))(aσ, aα) ∧ cext !(πra(step, cstep, ren, cren, ⌜pcsl⌝ , ⌜pal⌝ )) ⊑ aext !(aα) → # repls(step, cstep, cren, ren, aren, cext, aext, pcsl, pal, aσ, aα) = # repla(step, cstep, cren, ren, aren, cext, aext, pcsl, pal, aσ, aα) + 1

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

View the proof

Infos about the proof

Proved?: Yes
Interactions: 23
Proof steps: 48
Used lemmas: repla-rec-addboth, lift-size, repls-rec-addboth, nounsharedextR-notcodren, repla-rec-skip, repls-rec-skip, repla-rec-addS, repls-rec-addS, repla-base, repls-base,
Used spec theorems:
Used simplifier rules: