Nuprl Lemma : bm_compare_less_less_false
∀[K:Type]. ∀[compare:bm_compare(K)]. ∀[k1,k2:K]. (compare k1 k2 < 0 ⇒ compare k2 k1 < 0 ⇒ False)
Proof
Definitions occuring in Statement :
bm_compare: bm_compare(K),
less_than: a < b,
uall: ∀[x:A]. B[x],
implies: P ⇒ Q,
false: False,
apply: f a,
natural_number: $n,
universe: Type
Lemmas :
bm_compare_less_to_greater_eq,
less_than_transitivity1,
less_than_irreflexivity,
less_than_wf,
bm_compare_wf
\mforall{}[K:Type]. \mforall{}[compare:bm\_compare(K)]. \mforall{}[k1,k2:K]. (compare k1 k2 < 0 {}\mRightarrow{} compare k2 k1 < 0 {}\mRightarrow{} False)
Date html generated:
2015_07_17-AM-08_19_35
Last ObjectModification:
2015_01_27-PM-00_36_45
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