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Theorem repl-frag

nounsharedextR(cren, cext, ren), Πok(ext, cext, ren, cren), Πok(ext, aext, ren, aren), oinj(cext), oinj(aext), oinj(ext), sameshared(cren, aren, ren), frag(IOAut(Π(start, cstart), Π(step, cstep, ren, cren, ext, cext), Π(ext, cext, ren, cren)))(pcσ, pα), frag(IOAut(astart, astep, aext))(aσ, aα), cext !(πra(step, cstep, ren, cren, pcσ, pα)) = aext !(aα) ⊦ frag(IOAut(Π(start, astart), Π(step, astep, ren, aren, ext, aext), Π(ext, aext, ren, aren))) (repls(step, cstep, cren, ren, aren, cext, aext, pcσ, pα, aσ, aα), repla(step, cstep, cren, ren, aren, cext, aext, pcσ, pα, aσ, aα))

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

View the proof

Infos about the proof

Proved?: Yes
Interactions: 74
Proof steps: 119
Used lemmas: repl-fin-size, repl-size, mon-repla, mon-repls, replaction-inf-def, replstate-inf-def, finfrag-repl-frag, replaction-fin-def, replstate-fin-def,
Used spec theorems:
Used simplifier rules: