Nuprl Lemma : assert-rcvset

a,b:Id. ∀S:Id List. ∀k:Knd.
  (↑rcvset(a;b;S;k) ⇐⇒ ∃i,j:Id. ((i ∈ S) ∧ (j ∈ S) ∧ (k rcv((link(a) from to j),b) ∈ Knd)))


Definitions occuring in Statement :  rcvset: rcvset(a;b;S;k) rcv: rcv(l,tg) Knd: Knd mk_lnk: (link(n) from to j) Id: Id l_member: (x ∈ l) list: List assert: b all: x:A. B[x] exists: x:A. B[x] iff: ⇐⇒ Q and: P ∧ Q equal: t ∈ T
Lemmas :  assert_wf rcvset_wf exists_wf Id_wf l_member_wf Knd_wf rcv_wf mk_lnk_wf list_wf eq_id_wf bool_wf eqtt_to_assert assert-eq-id deq-member_wf id-deq_wf assert-deq-member iff_transitivity iff_weakening_uiff assert_of_band and_wf equal_wf subtype_base_sq atom2_subtype_base union_subtype_base IdLnk_wf product_subtype_base isrcv_rcv_lemma tag_rcv_lemma lnk_rcv_lemma lname_mk_lnk_lemma lsrc_mk_lnk_lemma ldst_mk_lnk_lemma member_wf
\mforall{}a,b:Id.  \mforall{}S:Id  List.  \mforall{}k:Knd.
    (\muparrow{}rcvset(a;b;S;k)  \mLeftarrow{}{}\mRightarrow{}  \mexists{}i,j:Id.  ((i  \mmember{}  S)  \mwedge{}  (j  \mmember{}  S)  \mwedge{}  (k  =  rcv((link(a)  from  i  to  j),b))))

Date html generated: 2015_07_17-AM-09_13_19
Last ObjectModification: 2015_01_28-AM-07_57_28

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