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Theorem base for Specification domdefinitions

This is a listing of all goals defined over the current specification. Axioms are yellow, proof obligations purple and theorems green. Click on individual names to get more information on the proof.

Name: Sequent: Type:
⊦ isDeclassDom(domvar) ↔ ¬ domvar ≠ User->User_Airline An Axiom
⊦ isStateDom(domvar) ↔ ¬ ¬ (domvar = HighLow5 ∨ domvar = Abort8 ∨ domvar = Abort9) An Axiom
⊦ usedDom(domvar) ↔ (∃ a. dom(a) = domvar) An Axiom
⊦ usedDom(domvar) ↔ ¬ ¬ ( isAbort9(domvar) ∨ isAbort8(domvar) ∨ isHighLow5(domvar) ∨ isUser_Airline(domvar) ∨ isUser->User_Airline(domvar) ∨ isUser_TravelAgency_Airline(domvar) ∨ isUser(domvar)) An Axiom
⊦ dom(Airline-flightOffers, mkAirline(n)) = User_TravelAgency_Airline An Axiom
⊦ dom(CreditCardCenter-ccd, mkCreditCardCenter(n)) = User An Axiom
⊦ dom(Mailbox(GetFlightOffers-TravelPlannerCmd), mkTravelPlanner(n)) = User_TravelAgency_Airline An Axiom
⊦ dom(Mailbox(DeclassifiedCCD-TravelPlannerCmd), mkTravelPlanner(n)) = User_Airline An Axiom
⊦ dom(Mailbox(OkConfirmBooking-TravelPlannerCmd), mkTravelPlanner(n)) = User_TravelAgency_Airline An Axiom
⊦ dom(Mailbox(GetFlightOffers-TravelAgencyCmd), mkTravelAgency(n)) = User_TravelAgency_Airline An Axiom
⊦ dom(Mailbox(RetFlightOffers-TravelAgencyCmd), mkTravelAgency(n)) = User_TravelAgency_Airline An Axiom
⊦ dom(Mailbox(PayCommission-TravelAgencyCmd), mkTravelAgency(n)) = User_TravelAgency_Airline An Axiom
⊦ dom(Mailbox(ReleaseCCD-CreditCardCenterCmd), mkCreditCardCenter(n)) = User An Axiom
⊦ dom(Mailbox(GetDeclassifiedCCD-CreditCardCenterCmd), mkCreditCardCenter(n)) = User An Axiom
⊦ dom(Mailbox(GetFlightOffers-AirlineCmd), mkAirline(n)) = User_TravelAgency_Airline An Axiom
⊦ dom(Mailbox(OkPayCommission-AirlineCmd), mkAirline(n)) = User_TravelAgency_Airline An Axiom
⊦ dom(Mailbox(GetInputRequestData-UserCmd-1), mkUser(n)) = User_TravelAgency_Airline An Axiom
⊦ dom(Mailbox(GetSingleSelection-UserCmd-2), mkUser(n)) = User_Airline An Axiom
⊦ dom(Mailbox(ConfirmRelease-UserCmd-3), mkUser(n)) = User An Axiom
⊦ dom(Mailbox(Confirm-UserCmd-4), mkUser(n)) = User_TravelAgency_Airline An Axiom
⊦ dom(Mailbox(RetFlightOffers-TravelPlannerCmd), mkTravelPlanner(n)) = User_TravelAgency_Airline An Axiom
⊦ dom(Mailbox(BookSelected-TravelPlannerCmd), mkTravelPlanner(n)) = User_Airline An Axiom
⊦ dom(Mailbox(BookFlightOffer-AirlineCmd), mkAirline(n)) = User_Airline An Axiom
⊦ dom(Action(ag0, Init-GetInputRequestData-TravelPlannerCmd, ag1)) = User_TravelAgency_Airline An Axiom
⊦ dom(Action(ag0, GetFlightOffers-TravelPlannerCmd, ag1)) = User_TravelAgency_Airline An Axiom
⊦ dom(Action(ag0, RetFlightOffersstate1-TravelPlannerCmd, ag1)) = User_Airline An Axiom
⊦ dom(Action(ag0, BookSelectedstate2-TravelPlannerCmd, ag1)) = User An Axiom
⊦ dom(Action(ag0, DeclassifiedCCD-TravelPlannerCmd, ag1)) = User_Airline An Axiom
⊦ dom(Action(ag0, OkConfirmBooking-TravelPlannerCmd, ag1)) = User_TravelAgency_Airline An Axiom
⊦ dom(Action(ag0, GetFlightOffers-TravelAgencyCmd, ag1)) = User_TravelAgency_Airline An Axiom
⊦ dom(Action(ag0, RetFlightOffers-TravelAgencyCmd, ag1)) = User_TravelAgency_Airline An Axiom
⊦ dom(Action(ag0, PayCommission-TravelAgencyCmd, ag1)) = User_TravelAgency_Airline An Axiom
⊦ dom(Action(ag0, ReleaseCCD-CreditCardCenterCmd, ag1)) = User An Axiom
⊦ dom(Action(ag0, GetDeclassifiedCCD-CreditCardCenterCmd, ag1)) = User An Axiom
⊦ dom(Action(ag0, GetFlightOffers-AirlineCmd, ag1)) = User_TravelAgency_Airline An Axiom
⊦ dom(Action(ag0, BookFlightOfferstate7-AirlineCmd, ag1)) = User_TravelAgency_Airline An Axiom
⊦ dom(Action(ag0, OkPayCommission-AirlineCmd, ag1)) = User_TravelAgency_Airline An Axiom
⊦ dom(Action(ag0, GetInputRequestData-UserCmd-1, ag1)) = User_TravelAgency_Airline An Axiom
⊦ dom(Action(ag0, GetSingleSelection-UserCmd-2, ag1)) = User_Airline An Axiom
⊦ dom(Action(ag0, ConfirmRelease-UserCmd-3, ag1)) = User An Axiom
⊦ dom(Action(ag0, Confirm-UserCmd-4, ag1)) = User_TravelAgency_Airline An Axiom
⊦ dom(Action(ag0, RetFlightOffers-TravelPlannerCmd, ag1)) = User_TravelAgency_Airline An Axiom
⊦ dom(Action(ag0, BookSelected-TravelPlannerCmd, ag1)) = User_Airline An Axiom
⊦ dom(Action(ag0, declassifyCCD4ASM-CreditCardCenterCmd, ag1)) = User->User_Airline An Axiom
⊦ dom(Action(ag0, afterdeclassifyCCD4ASM-CreditCardCenterCmd, ag1)) = User_Airline An Axiom
⊦ dom(Action(ag0, BookFlightOffer-AirlineCmd, ag1)) = User_Airline An Axiom
⊦ dom(Action(ag0, BookFlightOfferstate6-AirlineCmd, ag1)) = HighLow5 An Axiom
⊦ dom(Action(ag0, Abort8-UserCmd, ag1)) = Abort8 An Axiom
⊦ dom(Action(ag0, Abort9-UserCmd, ag1)) = Abort9 An Axiom
⊦ isInit-GetInputRequestData-TravelPlannerCmd(cmd) → dom(Action(ag0, cmd, ag1)) = User_TravelAgency_Airline An Axiom
⊦ isGetFlightOffers-TravelPlannerCmd(cmd) → dom(Action(ag0, cmd, ag1)) = User_TravelAgency_Airline An Axiom
⊦ isRetFlightOffersstate1-TravelPlannerCmd(cmd) → dom(Action(ag0, cmd, ag1)) = User_Airline An Axiom
⊦ isBookSelectedstate2-TravelPlannerCmd(cmd) → dom(Action(ag0, cmd, ag1)) = User An Axiom
⊦ isDeclassifiedCCD-TravelPlannerCmd(cmd) → dom(Action(ag0, cmd, ag1)) = User_Airline An Axiom
⊦ isOkConfirmBooking-TravelPlannerCmd(cmd) → dom(Action(ag0, cmd, ag1)) = User_TravelAgency_Airline An Axiom
⊦ isGetFlightOffers-TravelAgencyCmd(cmd) → dom(Action(ag0, cmd, ag1)) = User_TravelAgency_Airline An Axiom
⊦ isRetFlightOffers-TravelAgencyCmd(cmd) → dom(Action(ag0, cmd, ag1)) = User_TravelAgency_Airline An Axiom
⊦ isPayCommission-TravelAgencyCmd(cmd) → dom(Action(ag0, cmd, ag1)) = User_TravelAgency_Airline An Axiom
⊦ isReleaseCCD-CreditCardCenterCmd(cmd) → dom(Action(ag0, cmd, ag1)) = User An Axiom
⊦ isGetDeclassifiedCCD-CreditCardCenterCmd(cmd) → dom(Action(ag0, cmd, ag1)) = User An Axiom
⊦ isGetFlightOffers-AirlineCmd(cmd) → dom(Action(ag0, cmd, ag1)) = User_TravelAgency_Airline An Axiom
⊦ isBookFlightOfferstate7-AirlineCmd(cmd) → dom(Action(ag0, cmd, ag1)) = User_TravelAgency_Airline An Axiom
⊦ isOkPayCommission-AirlineCmd(cmd) → dom(Action(ag0, cmd, ag1)) = User_TravelAgency_Airline An Axiom
⊦ isGetInputRequestData-UserCmd-1(cmd) → dom(Action(ag0, cmd, ag1)) = User_TravelAgency_Airline An Axiom
⊦ isGetSingleSelection-UserCmd-2(cmd) → dom(Action(ag0, cmd, ag1)) = User_Airline An Axiom
⊦ isConfirmRelease-UserCmd-3(cmd) → dom(Action(ag0, cmd, ag1)) = User An Axiom
⊦ isConfirm-UserCmd-4(cmd) → dom(Action(ag0, cmd, ag1)) = User_TravelAgency_Airline An Axiom
⊦ isRetFlightOffers-TravelPlannerCmd(cmd) → dom(Action(ag0, cmd, ag1)) = User_TravelAgency_Airline An Axiom
⊦ isBookSelected-TravelPlannerCmd(cmd) → dom(Action(ag0, cmd, ag1)) = User_Airline An Axiom
⊦ isdeclassifyCCD4ASM-CreditCardCenterCmd(cmd) → dom(Action(ag0, cmd, ag1)) = User->User_Airline An Axiom
⊦ isafterdeclassifyCCD4ASM-CreditCardCenterCmd(cmd) → dom(Action(ag0, cmd, ag1)) = User_Airline An Axiom
⊦ isBookFlightOffer-AirlineCmd(cmd) → dom(Action(ag0, cmd, ag1)) = User_Airline An Axiom
⊦ isBookFlightOfferstate6-AirlineCmd(cmd) → dom(Action(ag0, cmd, ag1)) = HighLow5 An Axiom
⊦ isAbort8-UserCmd(cmd) → dom(Action(ag0, cmd, ag1)) = Abort8 An Axiom
⊦ isAbort9-UserCmd(cmd) → dom(Action(ag0, cmd, ag1)) = Abort9 An Axiom