Nuprl Lemma : fpf-dom_functionality2
∀[A:Type]. ∀[eq1,eq2:EqDecider(A)]. ∀[f:a:A fp-> Top]. ∀[x:A]. {↑x ∈ dom(f) supposing ↑x ∈ dom(f)}
Proof
Definitions occuring in Statement :
fpf-dom: x ∈ dom(f),
fpf: a:A fp-> B[a],
deq: EqDecider(T),
assert: ↑b,
uimplies: b supposing a,
uall: ∀[x:A]. B[x],
top: Top,
guard: {T},
universe: Type
Definitions unfolded in proof :
guard: {T},
uall: ∀[x:A]. B[x],
member: t ∈ T,
uimplies: b supposing a,
so_lambda: λ2x.t[x],
so_apply: x[s],
prop: ℙ,
implies: P ⇒ Q
Latex:
\mforall{}[A:Type]. \mforall{}[eq1,eq2:EqDecider(A)]. \mforall{}[f:a:A fp-> Top]. \mforall{}[x:A]. \{\muparrow{}x \mmember{} dom(f) supposing \muparrow{}x \mmember{} dom(f)\}
Date html generated:
2016_05_16-AM-11_03_58
Last ObjectModification:
2015_12_29-AM-09_12_43
Theory : event-ordering
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