Nuprl Lemma : forall_wf

[A:Type]. ∀[B:A ─→ ℙ].  (∀a.B[a] ∈ ℙ)


Proof




Definitions occuring in Statement :  forall: x.P[x] uall: [x:A]. B[x] prop: so_apply: x[s] member: t ∈ T function: x:A ─→ B[x] universe: Type
Lemmas :  all_wf
\mforall{}[A:Type].  \mforall{}[B:A  {}\mrightarrow{}  \mBbbP{}].    (\mforall{}a.B[a]  \mmember{}  \mBbbP{})



Date html generated: 2015_07_17-AM-07_52_29
Last ObjectModification: 2015_01_30-AM-01_13_04

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