Nuprl Lemma : decidable__pa-is-new-and
∀a:ProtocolAction. ∀P:Atom1 ─→ ℙ. ((∀v:Atom1. Dec(P[v])) ⇒ Dec(pa-is-new-and(a;v.P[v])))
Proof
Definitions occuring in Statement :
pa-is-new-and: pa-is-new-and(a;v.P[v]),
protocol-action: ProtocolAction,
atom: Atom$n,
decidable: Dec(P),
prop: ℙ,
so_apply: x[s],
all: ∀x:A. B[x],
implies: P ⇒ Q,
function: x:A ─→ B[x]
Lemmas :
decidable__atom_equal,
subtype_base_sq,
atom_subtype_base,
decidable__cand,
equal-wf-base,
all_wf,
decidable_wf,
protocol-action_wf
Latex:
\mforall{}a:ProtocolAction. \mforall{}P:Atom1 {}\mrightarrow{} \mBbbP{}. ((\mforall{}v:Atom1. Dec(P[v])) {}\mRightarrow{} Dec(pa-is-new-and(a;v.P[v])))
Date html generated:
2015_07_23-PM-00_13_53
Last ObjectModification:
2015_01_29-AM-07_52_48
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