Nuprl Lemma : std-env_wf
∀[M:Type ⟶ Type]. ∀[nm:Id]. (std-env(nm) ∈ pEnvType(P.M[P]))
Proof
Definitions occuring in Statement :
std-env: std-env(nm),
pEnvType: pEnvType(T.M[T]),
Id: Id,
uall: ∀[x:A]. B[x],
so_apply: x[s],
member: t ∈ T,
function: x:A ⟶ B[x],
universe: Type
Definitions unfolded in proof :
pEnvType: pEnvType(T.M[T]),
uall: ∀[x:A]. B[x],
member: t ∈ T,
std-env: std-env(nm),
nat: ℕ,
le: A ≤ B,
and: P ∧ Q,
less_than': less_than'(a;b),
false: False,
not: ¬A,
implies: P ⇒ Q,
prop: ℙ,
nat_plus: ℕ+,
so_lambda: λ2x.t[x],
so_apply: x[s]
Latex:
\mforall{}[M:Type {}\mrightarrow{} Type]. \mforall{}[nm:Id]. (std-env(nm) \mmember{} pEnvType(P.M[P]))
Date html generated:
2016_05_17-AM-10_55_32
Last ObjectModification:
2015_12_29-PM-05_18_29
Theory : process-model
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