Nuprl Lemma : m-sphere_wf

[X:Type]. ∀[d:metric(X)]. ∀[c:X]. ∀[r:ℝ].  (m-sphere(X;d;c;r) ∈ Type)


Proof




Definitions occuring in Statement :  m-sphere: m-sphere(X;d;c;r) metric: metric(X) real: uall: [x:A]. B[x] member: t ∈ T universe: Type
Definitions unfolded in proof :  uall: [x:A]. B[x] member: t ∈ T m-sphere: m-sphere(X;d;c;r) prop:

Latex:
\mforall{}[X:Type].  \mforall{}[d:metric(X)].  \mforall{}[c:X].  \mforall{}[r:\mBbbR{}].    (m-sphere(X;d;c;r)  \mmember{}  Type)



Date html generated: 2020_05_20-AM-11_46_48
Last ObjectModification: 2019_11_07-AM-10_29_57

Theory : reals


Home Index