Nuprl Lemma : lnk-decl-dom
∀[l:IdLnk]. ∀[dt:tg:Id fp-> Type]. ∀[tg:Id]. (rcv(l,tg) ∈ dom(lnk-decl(l;dt)) ~ tg ∈ dom(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,
rcv: rcv(l,tg),
IdLnk: IdLnk,
id-deq: IdDeq,
Id: Id,
uall: ∀[x:A]. B[x],
universe: Type,
sqequal: s ~ t
Lemmas :
subtype_base_sq,
bool_wf,
bool_subtype_base,
Id_wf,
fpf_wf,
IdLnk_wf,
iff_imp_equal_bool,
deq-member_wf,
Knd_wf,
Kind-deq_wf,
map_wf,
rcv_wf,
id-deq_wf,
assert-deq-member,
member_map,
assert_wf,
l_member_wf,
atom2_subtype_base,
rcv_one_one
\mforall{}[l:IdLnk]. \mforall{}[dt:tg:Id fp-> Type]. \mforall{}[tg:Id]. (rcv(l,tg) \mmember{} dom(lnk-decl(l;dt)) \msim{} tg \mmember{} dom(dt))
Date html generated:
2015_07_17-AM-11_15_30
Last ObjectModification:
2015_01_28-AM-07_39_01
Home
Index