Nuprl Lemma : es-fwd-propagation-via_wf
∀[Info:Type]. ∀[es:EO+(Info)]. ∀[T:Type]. ∀[X,Y:EClass(T)]. ∀[f:E(X) ⟶ E(Y)]. (f:X ⇒ Y:T ∈ ℙ)
Proof
Definitions occuring in Statement :
es-fwd-propagation-via: f:X ⇒ Y:T,
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 :
uall: ∀[x:A]. B[x],
member: t ∈ T,
es-fwd-propagation-via: f:X ⇒ Y:T,
prop: ℙ,
and: P ∧ Q,
so_lambda: λ2x.t[x],
so_lambda: λ2x y.t[x; y],
subtype_rel: A ⊆r B,
so_apply: x[s1;s2],
es-E-interface: E(X),
uimplies: b supposing a,
all: ∀x:A. B[x],
top: Top,
sq_type: SQType(T),
implies: P ⇒ Q,
guard: {T},
assert: ↑b,
ifthenelse: if b then t else f fi ,
btrue: tt,
true: True,
so_apply: x[s]
Latex:
\mforall{}[Info:Type]. \mforall{}[es:EO+(Info)]. \mforall{}[T:Type]. \mforall{}[X,Y:EClass(T)]. \mforall{}[f:E(X) {}\mrightarrow{} E(Y)]. (f:X {}\mRightarrow{} Y:T \mmember{} \mBbbP{})
Date html generated:
2016_05_17-AM-06_44_29
Last ObjectModification:
2015_12_29-AM-00_26_18
Theory : event-ordering
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