Nuprl Lemma : min_w_ord_wf

∀[T:Type]. ∀[t1,t2:T]. ∀[f:T ─→ ℤ].  (min_w_ord(t1;t2;f) ∈ T)


Proof




Definitions occuring in Statement :  min_w_ord: min_w_ord(t1;t2;f),  uall: ∀[x:A]. B[x],  member: t ∈ T,  function: x:A ─→ B[x],  int: ℤ,  universe: Type
Lemmas :  lt_int_wf,  bool_wf,  uiff_transitivity,  equal-wf-T-base,  assert_wf,  less_than_wf,  eqtt_to_assert,  assert_of_lt_int,  le_int_wf,  le_wf,  bnot_wf,  eqff_to_assert,  assert_functionality_wrt_uiff,  bnot_of_lt_int,  assert_of_le_int
\mforall{}[T:Type].  \mforall{}[t1,t2:T].  \mforall{}[f:T  {}\mrightarrow{}  \mBbbZ{}].    (min\_w\_ord(t1;t2;f)  \mmember{}  T)



Date html generated: 2015_07_17-AM-07_41_48
Last ObjectModification: 2015_01_27-AM-09_30_55

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