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Theorem step-M1-M2
⊦ ((# gs.ar ≠ 0 ∧ htok(gs.ar)) ∧ ls.e ≠ ⊥) ∧ pre(gs, ls, M1, a) ∧ pcstepf(gs, ls, M1, a) = M2 → (# gstepf(gs, ls, M1, a).ar ≠ 0 ∧ htok(gstepf(gs, ls, M1, a).ar)) ∧ lstepf(gs, ls, M1, a).e ≠ ⊥ ∧ lstepf(gs, ls, M1, a).sz = # gstepf(gs, ls, M1, a).ar
Type: A proof obligation
Validity: The proof is valid.
Features:
Comment:
Used by:
HashsetInv-thm
,
other-HashsetLInv
,
rely-HashsetLInv
,
stable-HashsetLInv
,
step-HashsetLInv
,
Used by units in proved state:
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 0
Proof steps: 2
Used lemmas:
Used spec theorems:
Used simplifier rules:
Hashset
/
gstepf-M1
Hashset
/
updsel--dotsz-dotsz
Hashset
/
lstepf-M1
Hashset
/
updsel--dotsz-dote
Hashset
/
pre-M1
Hashset
/
pcstepf-M1