Nuprl Lemma : reliable-env_wf
∀[M:Type ─→ Type]. ∀[r:pRunType(P.M[P])]. ∀[env:pEnvType(P.M[P])]. (reliable-env(env; r) ∈ ℙ)
Proof
Definitions occuring in Statement :
reliable-env: reliable-env(env; r),
pEnvType: pEnvType(T.M[T]),
pRunType: pRunType(T.M[T]),
uall: ∀[x:A]. B[x],
prop: ℙ,
so_apply: x[s],
member: t ∈ T,
function: x:A ─→ B[x],
universe: Type
Lemmas :
all_wf,
nat_wf,
exists_wf,
less_than_wf,
equal-wf-T-base,
less_than_transitivity2,
subtype_rel_dep_function,
Id_wf,
pMsg_wf,
unit_wf2,
top_wf,
ldag_wf,
pInTransit_wf,
int_seg_wf,
int_seg_subtype-nat,
false_wf,
subtype_rel_self,
pEnvType_wf,
pRunType_wf
Latex:
\mforall{}[M:Type {}\mrightarrow{} Type]. \mforall{}[r:pRunType(P.M[P])]. \mforall{}[env:pEnvType(P.M[P])]. (reliable-env(env; r) \mmember{} \mBbbP{})
Date html generated:
2015_07_23-AM-11_17_07
Last ObjectModification:
2015_01_28-PM-11_18_11
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