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Theorem step-invWrite-resWrite

⊦ (allReadsOK(gs.h) ∧ allWritesOK(gs.h) ∧ gs.vm = ∅ ⊕ gs.h ∧ gs.pm = ∅ ⊕ (gs.h | true)) ∧ pre(gs, ls, invWrite, a) ∧ pcstepf(gs, ls, invWrite, a) = resWrite → ( allReadsOK(gstepf(gs, ls, invWrite, a).h) ∧ allWritesOK(gstepf(gs, ls, invWrite, a).h) ∧ gstepf(gs, ls, invWrite, a).vm = ∅ ⊕ gstepf(gs, ls, invWrite, a).h ∧ gstepf(gs, ls, invWrite, a).pm = ∅ ⊕ (gstepf(gs, ls, invWrite, a).h | true)) ∧ ( (gstepf(gs, ls, invWrite, a).h | lstepf(gs, ls, invWrite, a).t) | false = [] ∨ (gstepf(gs, ls, invWrite, a).h | lstepf(gs, ls, invWrite, a).t) | false = (W(lstepf(gs, ls, invWrite, a).t, lstepf(gs, ls, invWrite, a).il, lstepf(gs, ls, invWrite, a).iv), false) ')

Type: A proof obligation
Validity: The proof is valid.
Features:
Comment:
Used by: PLIBInv-thm, other-PLIBLInv, rely-PLIBLInv, stable-PLIBLInv, step-PLIBLInv,
Used by units in proved state:
Proof exists?: Yes

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Infos about the proof

Proved?: Yes
Interactions: 0
Proof steps: 2
Used lemmas:
Used spec theorems:
- Used simplifier rules: