Nuprl Lemma : is-max-fst
∀[Info:Type]. ∀[es:EO+(Info)]. ∀[X:EClass(Top)]. ∀[e:E]. (e ∈b MaxFst(X) ~ e ∈b X)
Proof
Definitions occuring in Statement :
max-fst-class: MaxFst(X),
in-eclass: e ∈b X,
eclass: EClass(A[eo; e]),
event-ordering+: EO+(Info),
es-E: E,
uall: ∀[x:A]. B[x],
top: Top,
universe: Type,
sqequal: s ~ t
Definitions unfolded in proof :
max-fst-class: MaxFst(X),
uall: ∀[x:A]. B[x],
member: t ∈ T,
so_lambda: λ2x.t[x],
top: Top,
so_apply: x[s],
subtype_rel: A ⊆r B,
so_lambda: λ2x y.t[x; y],
so_apply: x[s1;s2]
Latex:
\mforall{}[Info:Type]. \mforall{}[es:EO+(Info)]. \mforall{}[X:EClass(Top)]. \mforall{}[e:E]. (e \mmember{}\msubb{} MaxFst(X) \msim{} e \mmember{}\msubb{} X)
Date html generated:
2016_05_16-PM-11_11_38
Last ObjectModification:
2015_12_29-AM-10_32_42
Theory : event-ordering
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