Nuprl Lemma : integer-class-bound-exists
∀[Info:Type]. ∀es:EO+(Info). ∀X:EClass(ℤ). ∀e:E. ∃b:ℕ+. ∀x:ℤ. (x ∈ X(e) ⇒ x < b)
Proof
Definitions occuring in Statement :
classrel: v ∈ X(e),
eclass: EClass(A[eo; e]),
event-ordering+: EO+(Info),
es-E: E,
nat_plus: ℕ+,
less_than: a < b,
uall: ∀[x:A]. B[x],
all: ∀x:A. B[x],
exists: ∃x:A. B[x],
implies: P ⇒ Q,
int: ℤ,
universe: Type
Lemmas :
imax-bag_wf,
cons-bag_wf,
less_than_wf,
classrel_wf,
all_wf,
es-E_wf,
event-ordering+_subtype,
eclass_wf,
event-ordering+_wf,
length_of_cons_lemma,
bag-size_wf,
nat_wf,
imax-bag-ub,
bag-member-cons,
bag-member_wf,
equal-wf-base,
int_subtype_base
Latex:
\mforall{}[Info:Type]. \mforall{}es:EO+(Info). \mforall{}X:EClass(\mBbbZ{}). \mforall{}e:E. \mexists{}b:\mBbbN{}\msupplus{}. \mforall{}x:\mBbbZ{}. (x \mmember{} X(e) {}\mRightarrow{} x < b)
Date html generated:
2015_07_21-PM-03_26_13
Last ObjectModification:
2015_01_27-PM-06_43_38
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