Nuprl Lemma : decidable__equal_cs-initial
∀[V:Type]. ∀x:consensus-state3(V). Dec(x = INITIAL ∈ consensus-state3(V))
Proof
Definitions occuring in Statement :
cs-initial: INITIAL,
consensus-state3: consensus-state3(T),
decidable: Dec(P),
uall: ∀[x:A]. B[x],
all: ∀x:A. B[x],
universe: Type,
equal: s = t ∈ T
Lemmas :
consensus-state3_wf,
btrue_wf,
and_wf,
equal_wf,
bool_wf,
isl_wf,
bfalse_wf,
btrue_neq_bfalse,
equal-wf-T-base,
ppcc-problem,
unit_wf2,
not_wf,
less_than_wf,
iff_weakening_equal,
eqtt_to_assert,
eqff_to_assert,
bool_cases_sqequal,
subtype_base_sq,
bool_subtype_base,
assert-bnot,
equal-wf-base
\mforall{}[V:Type]. \mforall{}x:consensus-state3(V). Dec(x = INITIAL)
Date html generated:
2015_07_17-AM-11_22_22
Last ObjectModification:
2015_02_04-PM-05_05_46
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