Nuprl Lemma : m-interior_wf
∀[X,A:Type]. ∀[d:metric(X)]. (m-interior(X;d;A) ∈ Type) supposing strong-subtype(A;X)
Proof
Definitions occuring in Statement :
m-interior: m-interior(X;d;A),
metric: metric(X),
strong-subtype: strong-subtype(A;B),
uimplies: b supposing a,
uall: ∀[x:A]. B[x],
member: t ∈ T,
universe: Type
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
uimplies: b supposing a,
m-interior: m-interior(X;d;A),
prop: ℙ
Latex:
\mforall{}[X,A:Type]. \mforall{}[d:metric(X)]. (m-interior(X;d;A) \mmember{} Type) supposing strong-subtype(A;X)
Date html generated:
2020_05_20-AM-11_44_12
Last ObjectModification:
2019_11_07-AM-10_14_47
Theory : reals
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