Nuprl Lemma : fpf-all-empty
∀[A:Type]. ∀eq,P:Top. (∀y∈dom(⊗). w=⊗(y) ⇒ P[y;w] ⇐⇒ True)
Proof
Definitions occuring in Statement :
fpf-all: ∀x∈dom(f). v=f(x) ⇒ P[x; v],
fpf-empty: ⊗,
uall: ∀[x:A]. B[x],
top: Top,
so_apply: x[s1;s2],
all: ∀x:A. B[x],
iff: P ⇐⇒ Q,
true: True,
universe: Type
Lemmas :
all_wf,
false_wf,
true_wf
\mforall{}[A:Type]. \mforall{}eq,P:Top. (\mforall{}y\mmember{}dom(\motimes{}). w=\motimes{}(y) {}\mRightarrow{} P[y;w] \mLeftarrow{}{}\mRightarrow{} True)
Date html generated:
2015_07_17-AM-11_13_50
Last ObjectModification:
2015_01_28-AM-07_41_23
Home
Index