Nuprl Lemma : cond-class-subtype1
∀[Info,A:Type]. ∀[X,Y:EClass(A)]. ∀[es:EO+(Info)]. (E(X) ⊆r E([X?Y]))
Proof
Definitions occuring in Statement :
es-E-interface: E(X),
cond-class: [X?Y],
eclass: EClass(A[eo; e]),
event-ordering+: EO+(Info),
subtype_rel: A ⊆r B,
uall: ∀[x:A]. B[x],
universe: Type
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
subtype_rel: A ⊆r B,
es-E-interface: E(X),
prop: ℙ,
so_lambda: λ2x y.t[x; y],
so_apply: x[s1;s2],
all: ∀x:A. B[x],
uimplies: b supposing a,
top: Top,
iff: P ⇐⇒ Q,
and: P ∧ Q,
rev_implies: P ⇐ Q,
implies: P ⇒ Q,
or: P ∨ Q
Latex:
\mforall{}[Info,A:Type]. \mforall{}[X,Y:EClass(A)]. \mforall{}[es:EO+(Info)]. (E(X) \msubseteq{}r E([X?Y]))
Date html generated:
2016_05_16-PM-02_43_28
Last ObjectModification:
2015_12_29-AM-11_32_34
Theory : event-ordering
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