Nuprl Lemma : fpf-null-domain
∀[A:Type]. ∀[B:A ─→ Type]. ∀[f:Void ─→ Top]. (<[], f> = ⊗ ∈ x:A fp-> B[x])
Proof
Definitions occuring in Statement :
fpf-empty: ⊗,
fpf: a:A fp-> B[a],
nil: [],
uall: ∀[x:A]. B[x],
top: Top,
so_apply: x[s],
function: x:A ─→ B[x],
pair: <a, b>,
void: Void,
universe: Type,
equal: s = t ∈ T
Lemmas :
nil_wf,
null_nil_lemma,
btrue_wf,
member-implies-null-eq-bfalse,
btrue_neq_bfalse,
set_wf,
l_member_wf,
top_wf
\mforall{}[A:Type]. \mforall{}[B:A {}\mrightarrow{} Type]. \mforall{}[f:Void {}\mrightarrow{} Top]. (<[], f> = \motimes{})
Date html generated:
2015_07_17-AM-09_16_13
Last ObjectModification:
2015_01_28-AM-07_52_17
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