Nuprl Lemma : add-cut-conditions_wf
∀[Info:Type]. ∀[es:EO+(Info)]. ∀[X:EClass(Top)]. ∀[f:sys-antecedent(es;X)]. ∀[c:Cut(X;f)]. ∀[e:E(X)].
(add-cut-conditions(c;e) ∈ ℙ)
Proof
Definitions occuring in Statement :
add-cut-conditions: add-cut-conditions(c;e),
es-cut: Cut(X;f),
sys-antecedent: sys-antecedent(es;Sys),
es-E-interface: E(X),
eclass: EClass(A[eo; e]),
event-ordering+: EO+(Info),
uall: ∀[x:A]. B[x],
top: Top,
prop: ℙ,
member: t ∈ T,
universe: Type
Definitions unfolded in proof :
iff: P ⇐⇒ Q,
guard: {T},
so_apply: x[s],
so_lambda: λ2x.t[x],
cand: A c∧ B,
es-E-interface: E(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,
sys-antecedent: sys-antecedent(es;Sys),
implies: P ⇒ Q,
and: P ∧ Q,
prop: ℙ,
add-cut-conditions: add-cut-conditions(c;e),
member: t ∈ T,
uall: ∀[x:A]. B[x]
Latex:
\mforall{}[Info:Type]. \mforall{}[es:EO+(Info)]. \mforall{}[X:EClass(Top)]. \mforall{}[f:sys-antecedent(es;X)]. \mforall{}[c:Cut(X;f)].
\mforall{}[e:E(X)].
(add-cut-conditions(c;e) \mmember{} \mBbbP{})
Date html generated:
2016_05_17-AM-07_40_41
Last ObjectModification:
2015_12_28-PM-11_37_02
Theory : event-ordering
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