Nuprl Lemma : lnk-decl-dom-implies
∀[k:Knd]. ∀[l:IdLnk]. ∀[dt:x:Id fp-> Type]. {(↑isrcv(k)) c∧ (↑tag(k) ∈ dom(dt))} supposing ↑k ∈ dom(lnk-decl(l;dt))
Proof
Definitions occuring in Statement :
lnk-decl: lnk-decl(l;dt),
fpf-dom: x ∈ dom(f),
fpf: a:A fp-> B[a],
Kind-deq: KindDeq,
tagof: tag(k),
isrcv: isrcv(k),
Knd: Knd,
IdLnk: IdLnk,
id-deq: IdDeq,
Id: Id,
assert: ↑b,
uimplies: b supposing a,
uall: ∀[x:A]. B[x],
cand: A c∧ B,
guard: {T},
universe: Type
Lemmas :
isrcv_wf,
fpf-dom_wf,
Id_wf,
id-deq_wf,
subtype-fpf2,
top_wf,
subtype_top,
tagof_wf,
assert_wf,
Knd_wf,
Kind-deq_wf,
lnk-decl_wf-hasloc,
subtype-fpf3,
hasloc_wf,
ldst_wf,
strong-subtype-set2,
set_wf,
fpf_wf,
IdLnk_wf,
lnk-decl-dom2,
subtype_base_sq,
product_subtype_base,
atom2_subtype_base,
lnk-decl-dom,
lnk-decl-dom-not
\mforall{}[k:Knd]. \mforall{}[l:IdLnk]. \mforall{}[dt:x:Id fp-> Type].
\{(\muparrow{}isrcv(k)) c\mwedge{} (\muparrow{}tag(k) \mmember{} dom(dt))\} supposing \muparrow{}k \mmember{} dom(lnk-decl(l;dt))
Date html generated:
2015_07_17-AM-11_15_59
Last ObjectModification:
2015_01_28-AM-07_38_52
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