Nuprl Lemma : isEmpty-nat-missing_wf

∀[s:nat-missing-type()]. (isEmpty-nat-missing(s) ∈ 𝔹)


Proof




Definitions occuring in Statement :  isEmpty-nat-missing: isEmpty-nat-missing(s),  nat-missing-type: nat-missing-type(),  bool: 𝔹,  uall: ∀[x:A]. B[x],  member: t ∈ T
Definitions unfolded in proof :  uall: ∀[x:A]. B[x],  member: t ∈ T,  isEmpty-nat-missing: isEmpty-nat-missing(s),  nat-missing-type: nat-missing-type(),  all: ∀x:A. B[x],  implies: P ⇒ Q,  bool: 𝔹,  unit: Unit,  it: ⋅,  btrue: tt,  band: p ∧b q,  ifthenelse: if b then t else f fi ,  uiff: uiff(P;Q),  and: P ∧ Q,  uimplies: b supposing a,  subtype_rel: A ⊆r B,  top: Top,  bfalse: ff

Latex:
\mforall{}[s:nat-missing-type()].  (isEmpty-nat-missing(s)  \mmember{}  \mBbbB{})



Date html generated: 2016_05_17-PM-01_45_05
Last ObjectModification: 2015_12_28-PM-08_52_07

Theory : datatype-signatures


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