Nuprl Lemma : es-propagate-iff2_wf
∀[Info:Type]. ∀[es:EO+(Info)]. ∀[T:Type]. ∀[X,Y,Z:EClass(T)]. ((X | Y) ⇐⇒ Z:T ∈ ℙ)
Proof
Definitions occuring in Statement :
es-propagate-iff2: (X | Y) ⇐⇒ Z:T,
eclass: EClass(A[eo; e]),
event-ordering+: EO+(Info),
uall: ∀[x:A]. B[x],
prop: ℙ,
member: t ∈ T,
universe: Type
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
es-propagate-iff2: (X | Y) ⇐⇒ Z:T,
subtype_rel: A ⊆r B,
so_lambda: λ2x y.t[x; y],
so_apply: x[s1;s2],
uimplies: b supposing a,
all: ∀x:A. B[x],
top: Top,
so_lambda: λ2x.t[x],
prop: ℙ,
and: P ∧ Q,
cand: A c∧ B,
es-E-interface: E(X),
so_apply: x[s],
exists: ∃x:A. B[x],
or: P ∨ Q
Latex:
\mforall{}[Info:Type]. \mforall{}[es:EO+(Info)]. \mforall{}[T:Type]. \mforall{}[X,Y,Z:EClass(T)]. ((X | Y) \mLeftarrow{}{}\mRightarrow{} Z:T \mmember{} \mBbbP{})
Date html generated:
2016_05_17-AM-06_47_06
Last ObjectModification:
2015_12_29-AM-00_24_59
Theory : event-ordering
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