Nuprl Lemma : member-nat-missing_wf
∀[i:ℕ]. ∀[s:nat-missing-type()]. (member-nat-missing(i;s) ∈ 𝔹)
Proof
Definitions occuring in Statement :
member-nat-missing: member-nat-missing(i;s),
nat-missing-type: nat-missing-type(),
nat: ℕ,
bool: 𝔹,
uall: ∀[x:A]. B[x],
member: t ∈ T
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
member-nat-missing: member-nat-missing(i;s),
nat-missing-type: nat-missing-type(),
nat: ℕ,
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,
bfalse: ff
Latex:
\mforall{}[i:\mBbbN{}]. \mforall{}[s:nat-missing-type()]. (member-nat-missing(i;s) \mmember{} \mBbbB{})
Date html generated:
2016_05_17-PM-01_44_55
Last ObjectModification:
2015_12_28-PM-08_52_13
Theory : datatype-signatures
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