Nuprl Lemma : decidable__pa-is-sign-implies
∀a:ProtocolAction. ∀P:(SecurityData × Id × Atom1) ─→ ℙ.
((∀v:SecurityData × Id × Atom1. Dec(P[v])) ⇒ Dec(pa-is-sign-implies(a;v.P[v])))
Proof
Definitions occuring in Statement :
pa-is-sign-implies: pa-is-sign-implies(a;v.P[v]),
protocol-action: ProtocolAction,
sdata: SecurityData,
Id: Id,
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],
product: x:A × B[x]
Lemmas :
decidable__atom_equal,
subtype_base_sq,
atom_subtype_base,
decidable__implies_better,
equal-wf-base,
not_wf,
all_wf,
sdata_wf,
Id_wf,
decidable_wf,
protocol-action_wf
Latex:
\mforall{}a:ProtocolAction. \mforall{}P:(SecurityData \mtimes{} Id \mtimes{} Atom1) {}\mrightarrow{} \mBbbP{}.
((\mforall{}v:SecurityData \mtimes{} Id \mtimes{} Atom1. Dec(P[v])) {}\mRightarrow{} Dec(pa-is-sign-implies(a;v.P[v])))
Date html generated:
2015_07_23-PM-00_13_44
Last ObjectModification:
2015_01_29-AM-07_52_37
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