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Proof step 7 from proof IFProperty1 (conclusion)

⊦ ¬ ∅ ++ dom(CreditCardCenter-ccd, mkCreditCardCenter(m)) ⇒1 ∅ ++ dom(Mailbox(GetFlightOffers-AirlineCmd), mkAirline(0)) ++ dom(Mailbox(BookFlightOffer-AirlineCmd), mkAirline(0)) ++ dom(Mailbox(OkPayCommission-AirlineCmd), mkAirline(0))

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 6:
∅ ++ User ⇒1 ∅ ++ User_Airline ++ User_TravelAgency_Airline ⊦

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPNAMEDSEQ : set-basic, domains, addtwo, ⊦ domsvar ++ domvar ++ domvar0 ++ domvar = domsvar ++ domvar0 ++ domvar], [CSIMPNAMEDSEQ : domdefinitions, , dom-Mailbox-OkPayCommission, ⊦ dom (Mailbox (OkPayCommission-AirlineCmd), mkAirline(n)) = User_TravelAgency_Airline], [CSIMPNAMEDSEQ : domdefinitions, , dom-Mailbox-BookFlightOffer, ⊦ dom (Mailbox (BookFlightOffer-AirlineCmd), mkAirline(n)) = User_Airline], [CSIMPNAMEDSEQ : domdefinitions, , dom-Mailbox-GetFlightOffers-03, ⊦ dom (Mailbox (GetFlightOffers-AirlineCmd), mkAirline(n)) = User_TravelAgency_Airline], [CSIMPNAMEDSEQ : domdefinitions, , dom-ccd, ⊦ dom (CreditCardCenter-ccd, mkCreditCardCenter(n)) = User])]]