Nuprl Lemma : is-max-f-class
∀[Info:Type]. ∀[es:EO+(Info)]. ∀[A:Type]. ∀[f:Top]. ∀[X:EClass(A)]. ∀[e:E].
(e ∈b (v from X with maximum f[v]) ~ e ∈b X)
Proof
Definitions occuring in Statement :
max-f-class: (v from X with maximum f[v]),
in-eclass: e ∈b X,
eclass: EClass(A[eo; e]),
event-ordering+: EO+(Info),
es-E: E,
uall: ∀[x:A]. B[x],
top: Top,
so_apply: x[s],
universe: Type,
sqequal: s ~ t
Definitions unfolded in proof :
max-f-class: (v from X with maximum f[v]),
uall: ∀[x:A]. B[x],
member: t ∈ 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],
so_apply: x[s]
Latex:
\mforall{}[Info:Type]. \mforall{}[es:EO+(Info)]. \mforall{}[A:Type]. \mforall{}[f:Top]. \mforall{}[X:EClass(A)]. \mforall{}[e:E].
(e \mmember{}\msubb{} (v from X with maximum f[v]) \msim{} e \mmember{}\msubb{} X)
Date html generated:
2016_05_16-PM-11_10_34
Last ObjectModification:
2015_12_29-AM-10_33_00
Theory : event-ordering
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