Nuprl Lemma : union-nat-missing_wf
∀[s1,s2:nat-missing-type()]. (union-nat-missing(s1;s2) ∈ nat-missing-type())
Proof
Definitions occuring in Statement :
union-nat-missing: union-nat-missing(s1;s2),
nat-missing-type: nat-missing-type(),
uall: ∀[x:A]. B[x],
member: t ∈ T
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
union-nat-missing: union-nat-missing(s1;s2),
nat-missing-type: nat-missing-type(),
all: ∀x:A. B[x],
implies: P ⇒ Q,
bool: 𝔹,
unit: Unit,
it: ⋅,
btrue: tt,
ifthenelse: if b then t else f fi ,
uiff: uiff(P;Q),
and: P ∧ Q,
uimplies: b supposing a,
nat: ℕ,
prop: ℙ,
bfalse: ff
Latex:
\mforall{}[s1,s2:nat-missing-type()]. (union-nat-missing(s1;s2) \mmember{} nat-missing-type())
Date html generated:
2016_05_17-PM-01_45_36
Last ObjectModification:
2015_12_28-PM-08_51_47
Theory : datatype-signatures
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