Nuprl Lemma : glued_wf
∀[Info:Type]. ∀[es:EO+(Info)]. ∀[A,B:Type]. ∀[Ia:EClass(A)]. ∀[Ib:EClass(B)]. ∀[f:E(Ia) ⟶ B].
(glued(es;B;f;Ia;Ib) ∈ ℙ)
Proof
Definitions occuring in Statement :
glued: glued(es;B;f;Ia;Ib),
es-E-interface: E(X),
eclass: EClass(A[eo; e]),
event-ordering+: EO+(Info),
uall: ∀[x:A]. B[x],
prop: ℙ,
member: t ∈ T,
function: x:A ⟶ B[x],
universe: Type
Definitions unfolded in proof :
so_apply: x[s],
so_lambda: λ2x.t[x],
top: Top,
all: ∀x:A. B[x],
uimplies: b supposing a,
so_apply: x[s1;s2],
so_lambda: λ2x y.t[x; y],
subtype_rel: A ⊆r B,
glued: glued(es;B;f;Ia;Ib),
member: t ∈ T,
uall: ∀[x:A]. B[x]
Latex:
\mforall{}[Info:Type]. \mforall{}[es:EO+(Info)]. \mforall{}[A,B:Type]. \mforall{}[Ia:EClass(A)]. \mforall{}[Ib:EClass(B)]. \mforall{}[f:E(Ia) {}\mrightarrow{} B].
(glued(es;B;f;Ia;Ib) \mmember{} \mBbbP{})
Date html generated:
2016_05_17-AM-08_00_20
Last ObjectModification:
2015_12_28-PM-11_21_22
Theory : event-ordering
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