Nuprl Lemma : parallel-class-bind-left
∀[Info,T,S:Type]. ∀[X,Y:EClass(T)]. ∀[Z:T ─→ EClass(S)]. (X || Y >t> Z[t] = X >t> Z[t] || Y >t> Z[t] ∈ EClass(S))
Proof
Definitions occuring in Statement :
parallel-class: X || Y,
bind-class: X >x> Y[x],
eclass: EClass(A[eo; e]),
uall: ∀[x:A]. B[x],
so_apply: x[s],
function: x:A ─→ B[x],
universe: Type,
equal: s = t ∈ T
Lemmas :
es-le-before_wf2,
list-subtype-bag,
es-le_wf,
bag_wf,
bag-combine_wf,
bag-append_wf,
eclass_wf,
es-E_wf,
event-ordering+_subtype,
eo-forward_wf,
member-eo-forward-E,
equal_wf,
Id_wf,
es-loc_wf,
bag-combine-append-right,
iff_weakening_equal,
bag-combine-append-left,
event-ordering+_wf
\mforall{}[Info,T,S:Type]. \mforall{}[X,Y:EClass(T)]. \mforall{}[Z:T {}\mrightarrow{} EClass(S)].
(X || Y >t> Z[t] = X >t> Z[t] || Y >t> Z[t])
Date html generated:
2015_07_17-PM-00_45_12
Last ObjectModification:
2015_02_04-PM-05_31_50
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