Nuprl Lemma : es-interface-unmatched_wf
∀[Info,Ta,Tb:Type]. ∀[A:EClass(Ta)]. ∀[B:EClass(Tb)]. ∀[R:Ta ⟶ Tb ⟶ 𝔹].
(es-interface-unmatched(A; B; R) ∈ EClass(Ta List))
Proof
Definitions occuring in Statement :
es-interface-unmatched: es-interface-unmatched(A; B; R),
eclass: EClass(A[eo; e]),
list: T List,
bool: 𝔹,
uall: ∀[x:A]. B[x],
member: t ∈ T,
function: x:A ⟶ B[x],
universe: Type
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
es-interface-unmatched: es-interface-unmatched(A; B; R),
so_lambda: λ2x.t[x],
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,
prop: ℙ,
bfalse: ff,
so_apply: x[s],
so_lambda: λ2x y.t[x; y],
subtype_rel: A ⊆r B,
so_apply: x[s1;s2]
Latex:
\mforall{}[Info,Ta,Tb:Type]. \mforall{}[A:EClass(Ta)]. \mforall{}[B:EClass(Tb)]. \mforall{}[R:Ta {}\mrightarrow{} Tb {}\mrightarrow{} \mBbbB{}].
(es-interface-unmatched(A; B; R) \mmember{} EClass(Ta List))
Date html generated:
2016_05_16-PM-11_12_30
Last ObjectModification:
2015_12_29-AM-10_31_01
Theory : event-ordering
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