Nuprl Lemma : TC_wf

[Dom:Type]. ∀[F:Dom ─→ Dom ─→ ℙ]. ∀[a,b:Dom].  (TC(λx,y.F[x;y])(a,b) ∈ ℙ)


Proof




Definitions occuring in Statement :  TC: TC(λx,y.F[x; y])(a,b) uall: [x:A]. B[x] prop: so_apply: x[s1;s2] member: t ∈ T function: x:A ─→ B[x] universe: Type
Lemmas :  transitive-closure_wf
\mforall{}[Dom:Type].  \mforall{}[F:Dom  {}\mrightarrow{}  Dom  {}\mrightarrow{}  \mBbbP{}].  \mforall{}[a,b:Dom].    (TC(\mlambda{}x,y.F[x;y])(a,b)  \mmember{}  \mBbbP{})



Date html generated: 2015_07_17-AM-07_52_32
Last ObjectModification: 2015_01_30-AM-01_13_14

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