Nuprl Lemma : member-eclass-eclass1
∀[Info,B,C:Type]. ∀[X:EClass(B)]. ∀[f:Id ⟶ B ⟶ C]. ∀[es:EO]. ∀[e:E]. (e ∈b (f o X) ~ e ∈b X)
Proof
Definitions occuring in Statement :
eclass1: (f o X),
member-eclass: e ∈b X,
eclass: EClass(A[eo; e]),
es-E: E,
event_ordering: EO,
Id: Id,
uall: ∀[x:A]. B[x],
function: x:A ⟶ B[x],
universe: Type,
sqequal: s ~ t
Definitions unfolded in proof :
member-eclass: e ∈b X,
eclass1: (f o X),
class-ap: X(e),
uall: ∀[x:A]. B[x],
member: t ∈ T,
top: Top,
so_lambda: λ2x y.t[x; y],
subtype_rel: A ⊆r B,
so_apply: x[s1;s2]
Latex:
\mforall{}[Info,B,C:Type]. \mforall{}[X:EClass(B)]. \mforall{}[f:Id {}\mrightarrow{} B {}\mrightarrow{} C]. \mforall{}[es:EO]. \mforall{}[e:E]. (e \mmember{}\msubb{} (f o X) \msim{} e \mmember{}\msubb{} X)
Date html generated:
2016_05_17-AM-11_14_42
Last ObjectModification:
2015_12_29-PM-05_12_34
Theory : process-model
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