Nuprl Lemma : choosable-command_wf
∀[M:Type ─→ Type]. ∀[r:pRunType(P.M[P])]. ∀[t:ℕ+]. ∀[x:pInTransit(P.M[P])]. (choosable-command(P.M[P];r;t;x) ∈ ℙ)
Proof
Definitions occuring in Statement :
choosable-command: choosable-command(P.M[P];r;t;x),
pRunType: pRunType(T.M[T]),
pInTransit: pInTransit(P.M[P]),
nat_plus: ℕ+,
uall: ∀[x:A]. B[x],
prop: ℙ,
so_apply: x[s],
member: t ∈ T,
function: x:A ─→ B[x],
universe: Type
Lemmas :
exists_wf,
nat_wf,
assert_wf,
lg-is-source_wf,
lg-label_wf,
lelt_wf,
lg-size_wf,
pInTransit_wf,
nat_plus_wf,
pRunType_wf,
lt_int_wf,
bnot_wf,
not_wf,
less_than_wf,
assert_elim,
bfalse_wf,
btrue_neq_bfalse,
bool_cases,
subtype_base_sq,
bool_wf,
bool_subtype_base,
eqtt_to_assert,
assert_of_lt_int,
eqff_to_assert,
iff_transitivity,
iff_weakening_uiff,
assert_of_bnot
Latex:
\mforall{}[M:Type {}\mrightarrow{} Type]. \mforall{}[r:pRunType(P.M[P])]. \mforall{}[t:\mBbbN{}\msupplus{}]. \mforall{}[x:pInTransit(P.M[P])].
(choosable-command(P.M[P];r;t;x) \mmember{} \mBbbP{})
Date html generated:
2015_07_23-AM-11_16_44
Last ObjectModification:
2015_01_28-PM-11_18_55
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