Nuprl Lemma : hdataflow_subtype
∀[A1,B1,A2,B2:Type]. (hdataflow(A1;B1) ⊆r hdataflow(A2;B2)) supposing ((B1 ⊆r B2) and (A2 ⊆r A1))
Proof
Definitions occuring in Statement :
hdataflow: hdataflow(A;B),
uimplies: b supposing a,
subtype_rel: A ⊆r B,
uall: ∀[x:A]. B[x],
universe: Type
Lemmas :
corec-subtype-corec2,
bag_wf,
unit_wf2,
subtype_rel_sum,
subtype_rel_dep_function,
subtype_rel_product,
subtype_rel_bag,
subtype_rel_wf
\mforall{}[A1,B1,A2,B2:Type]. (hdataflow(A1;B1) \msubseteq{}r hdataflow(A2;B2)) supposing ((B1 \msubseteq{}r B2) and (A2 \msubseteq{}r A1))
Date html generated:
2015_07_17-AM-08_04_39
Last ObjectModification:
2015_01_27-PM-00_16_45
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