Nuprl Lemma : fpf-single_wf
∀[A:𝕌{j}]. ∀[B:A ⟶ Type]. ∀[x:A]. ∀[v:B[x]]. (x : v ∈ x:A fp-> B[x])
Proof
Definitions occuring in Statement :
fpf-single: x : v,
fpf: a:A fp-> B[a],
uall: ∀[x:A]. B[x],
so_apply: x[s],
member: t ∈ T,
function: x:A ⟶ B[x],
universe: Type
Definitions unfolded in proof :
fpf-single: x : v,
fpf: a:A fp-> B[a],
uall: ∀[x:A]. B[x],
member: t ∈ T,
all: ∀x:A. B[x],
prop: ℙ,
iff: P ⇐⇒ Q,
and: P ∧ Q,
implies: P ⇒ Q,
subtype_rel: A ⊆r B,
so_apply: x[s]
Latex:
\mforall{}[A:\mBbbU{}\{j\}]. \mforall{}[B:A {}\mrightarrow{} Type]. \mforall{}[x:A]. \mforall{}[v:B[x]]. (x : v \mmember{} x:A fp-> B[x])
Date html generated:
2016_05_16-AM-11_15_52
Last ObjectModification:
2015_12_29-AM-09_27_54
Theory : event-ordering
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