Nuprl Lemma : pa-is-new-and_wf

a:ProtocolAction. ∀P:Atom1 ⟶ ℙ.  (pa-is-new-and(a;v.P[v]) ∈ ℙ)


Proof




Definitions occuring in Statement :  pa-is-new-and: pa-is-new-and(a;v.P[v]) protocol-action: ProtocolAction atom: Atom$n prop: so_apply: x[s] all: x:A. B[x] member: t ∈ T function: x:A ⟶ B[x]
Definitions unfolded in proof :  all: x:A. B[x] member: t ∈ T pa-is-new-and: pa-is-new-and(a;v.P[v]) protocol-action: ProtocolAction pi1: fst(t) pi2: snd(t) prop: and: P ∧ Q uall: [x:A]. B[x] uimplies: supposing a sq_type: SQType(T) implies:  Q guard: {T} eq_atom: =a y ifthenelse: if then else fi  btrue: tt so_apply: x[s] subtype_rel: A ⊆B

Latex:
\mforall{}a:ProtocolAction.  \mforall{}P:Atom1  {}\mrightarrow{}  \mBbbP{}.    (pa-is-new-and(a;v.P[v])  \mmember{}  \mBbbP{})



Date html generated: 2016_05_17-PM-00_37_22
Last ObjectModification: 2015_12_29-PM-06_33_36

Theory : event-logic-applications


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