Nuprl Lemma : assert-cs-is-decided
∀[V:Type]. ∀x:consensus-state2(V). (↑cs-is-decided(x) ⇐⇒ ∃v:V. (x = Decided[v] ∈ consensus-state2(V)))
Proof
Definitions occuring in Statement :
cs-is-decided: cs-is-decided(x),
consensus-state2: consensus-state2(T),
cs-decided: Decided[v],
assert: ↑b,
uall: ∀[x:A]. B[x],
all: ∀x:A. B[x],
exists: ∃x:A. B[x],
iff: P ⇐⇒ Q,
universe: Type,
equal: s = t ∈ T
Lemmas :
top_wf,
equal_wf,
true_wf,
exists_wf,
false_wf,
consensus-state2_wf,
btrue_wf,
and_wf,
isl_wf,
bfalse_wf,
btrue_neq_bfalse
\mforall{}[V:Type]. \mforall{}x:consensus-state2(V). (\muparrow{}cs-is-decided(x) \mLeftarrow{}{}\mRightarrow{} \mexists{}v:V. (x = Decided[v]))
Date html generated:
2015_07_17-AM-11_21_31
Last ObjectModification:
2015_01_28-AM-07_33_28
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