Nuprl Lemma : Comm-next-guards_wf

[l_comm:Id]. ∀[piD:PiDataVal()]. ∀[cSt:Comm-state()].
  Comm-next-guards(l_comm;piD;cSt) ∈ Comm-output() supposing ↑pDVguards?(piD)


Proof




Definitions occuring in Statement :  Comm-next-guards: Comm-next-guards(l_comm;piD;cSt) Comm-output: Comm-output() Comm-state: Comm-state() pDVguards?: pDVguards?(x) PiDataVal: PiDataVal() Id: Id assert: b uimplies: supposing a uall: [x:A]. B[x] member: t ∈ T
Definitions unfolded in proof :  uall: [x:A]. B[x] member: t ∈ T uimplies: supposing a Comm-next-guards: Comm-next-guards(l_comm;piD;cSt) Comm-output: Comm-output() subtype_rel: A ⊆B Comm-state: Comm-state() so_lambda: λ2x.t[x] so_apply: x[s] prop:

Latex:
\mforall{}[l$_{comm}$:Id].  \mforall{}[piD:PiDataVal()].  \mforall{}[cSt:Comm-state()].
    Comm-next-guards(l$_{comm}$;piD;cSt)  \mmember{}  Comm-output()  supposing  \muparrow{}pDVguards?(piD\000C)



Date html generated: 2016_05_17-AM-11_33_15
Last ObjectModification: 2015_12_29-PM-06_49_11

Theory : event-logic-applications


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