Nuprl Lemma : normal-ds-single
∀x:Id. ∀[T:Type]. (Normal(T) ⇒ Normal(x : T))
Proof
Definitions occuring in Statement :
normal-ds: Normal(ds),
normal-type: Normal(T),
fpf-single: x : v,
Id: Id,
uall: ∀[x:A]. B[x],
all: ∀x:A. B[x],
implies: P ⇒ Q,
universe: Type
Definitions unfolded in proof :
all: ∀x:A. B[x],
uall: ∀[x:A]. B[x],
implies: P ⇒ Q,
normal-ds: Normal(ds),
fpf-all: ∀x∈dom(f). v=f(x) ⇒ P[x; v],
fpf-ap: f(x),
pi2: snd(t),
fpf-single: x : v,
normal-type: Normal(T),
member: t ∈ T,
prop: ℙ,
so_lambda: λ2x.t[x],
so_apply: x[s],
subtype_rel: A ⊆r B,
top: Top
Latex:
\mforall{}x:Id. \mforall{}[T:Type]. (Normal(T) {}\mRightarrow{} Normal(x : T))
Date html generated:
2016_05_16-AM-11_40_51
Last ObjectModification:
2015_12_29-AM-09_34_22
Theory : event-ordering
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