Nuprl Lemma : empty-nat-missing-prop

∀x:ℕ. (¬↑member-nat-missing(x;empty-nat-missing()))


Proof




Definitions occuring in Statement :  empty-nat-missing: empty-nat-missing(),  member-nat-missing: member-nat-missing(i;s),  nat: ℕ,  assert: ↑b,  all: ∀x:A. B[x],  not: ¬A
Lemmas :  sq_stable__le,  add_functionality_wrt_le,  add-zero,  le-add-cancel-alt,  le_wf,  not_wf,  assert_wf,  in-missing_wf,  nil_wf,  iff_transitivity,  bnot_wf,  iff_weakening_uiff,  assert_of_band,  assert_of_le_int,  assert_of_bnot,  le_int_wf,  bool_wf,  eqtt_to_assert,  nat_wf
\mforall{}x:\mBbbN{}.  (\mneg{}\muparrow{}member-nat-missing(x;empty-nat-missing()))



Date html generated: 2015_07_17-AM-08_21_25
Last ObjectModification: 2015_04_02-PM-05_43_11

Home Index