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: ℙ,  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: ℙ,  and: P ∧ Q,  uall: ∀[x:A]. B[x],  uimplies: b supposing a,  sq_type: SQType(T),  implies: P ⇒ Q,  guard: {T},  eq_atom: x =a y,  ifthenelse: if b then t else f fi ,  btrue: tt,  so_apply: x[s],  subtype_rel: A ⊆r 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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