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
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
reliable-env: reliable-env(env; r),
so_lambda: λ2x.t[x],
prop: ℙ,
and: P ∧ Q,
nat: ℕ,
pEnvType: pEnvType(T.M[T]),
nat_plus: ℕ+,
le: A ≤ B,
guard: {T},
uimplies: b supposing a,
pRunType: pRunType(T.M[T]),
subtype_rel: A ⊆r B,
so_apply: x[s],
all: ∀x:A. B[x],
implies: P ⇒ Q
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:
2016_05_17-AM-10_55_22
Last ObjectModification:
2016_01_18-AM-00_11_44
Theory : process-model
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