Nuprl Lemma : es-interface-subtype_rel2
∀[Info:Type]. ∀[A,B:es:EO+(Info) ─→ E ─→ Type].
EClass(A[es;e]) ⊆r EClass(B[es;e]) supposing ∀es:EO+(Info). ∀e:E. (A[es;e] ⊆r B[es;e])
Proof
Definitions occuring in Statement :
eclass: EClass(A[eo; e]),
event-ordering+: EO+(Info),
es-E: E,
uimplies: b supposing a,
subtype_rel: A ⊆r B,
uall: ∀[x:A]. B[x],
so_apply: x[s1;s2],
all: ∀x:A. B[x],
function: x:A ─→ B[x],
universe: Type
Lemmas :
dep-eclass_subtype_rel,
es-E_wf,
event-ordering+_subtype,
event-ordering+_wf,
all_wf,
subtype_rel_wf
\mforall{}[Info:Type]. \mforall{}[A,B:es:EO+(Info) {}\mrightarrow{} E {}\mrightarrow{} Type].
EClass(A[es;e]) \msubseteq{}r EClass(B[es;e]) supposing \mforall{}es:EO+(Info). \mforall{}e:E. (A[es;e] \msubseteq{}r B[es;e])
Date html generated:
2015_07_17-PM-00_47_53
Last ObjectModification:
2015_01_27-PM-11_04_45
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