Nuprl Lemma : fan_26_6a_prin27_5_imp_fan27_7a

fan_26_6a{i:l}()  brouwer_prin_27_5{i:l}()  fan_27_7a{i:l}()


Proof




Definitions occuring in Statement :  fan_27_7a: fan_27_7a{i:l}() brouwer_prin_27_5: brouwer_prin_27_5{i:l}() fan_26_6a: fan_26_6a{i:l}() implies: P  Q
Definitions :  implies: P  Q fan_27_7a: fan_27_7a{i:l}() all: x:A. B[x] prop: exists: x:A. B[x] member: t  T so_lambda: x.t[x] nat: le: A  B ifthenelse: if b then t else f fi  btrue: tt not: A false: False bfalse: ff gt: i > j fin_spr: fin_spr(B) and: P  Q int_seg: {i..j} lelt: i  j < k fan_26_6a: fan_26_6a{i:l}() brouwer_prin_27_5: brouwer_prin_27_5{i:l}() uall: [x:A]. B[x] so_apply: x[s] bool: unit: Unit uimplies: b supposing a assert: b uiff: uiff(P;Q) bnot: b or: P  Q sq_type: SQType(T) guard: {T} iff: P  Q exists_uni: Error :exists_uni,  rev_implies: P  Q in_fin_spr: (f  fspr(B)) it:
Lemmas :  all_wf nat_wf in_fin_spr_wf exists_wf Error :list_wf,  brouwer_prin_27_5_wf fan_26_6a_wf fin_spr_is_spr list-in-fin_spr_wf bool_wf eqtt_to_assert le_wf eqff_to_assert equal_wf bool_cases_sqequal subtype_base_sq bool_subtype_base Error :assert-bnot,  in_spr_wf in_fspr_iff_in_spr_of_fin_spr gt_wf decidable__lt fin_spr_wf fin_spr_mem_in_fin_spr mklist_wf subtype_rel_set int_seg_wf subtype_rel_dep_function subtype_rel_sets lelt_wf equal_upto_wf monus_wf equal_upto_mklist_eq
fan\_26\_6a\{i:l\}()  {}\mRightarrow{}  brouwer\_prin\_27\_5\{i:l\}()  {}\mRightarrow{}  fan\_27\_7a\{i:l\}()


Date html generated: 2013_03_20-AM-10_39_20
Last ObjectModification: 2013_03_17-PM-06_23_46

Home Index