Nuprl Lemma : bm_compare_trans_le
∀[K:Type]. ∀[compare:bm_compare(K)]. ∀[k1,k2,k3:K].
((0 ≤ (compare k1 k2)) ⇒ (0 ≤ (compare k2 k3)) ⇒ (0 ≤ (compare k1 k3)))
Proof
Definitions occuring in Statement :
bm_compare: bm_compare(K),
uall: ∀[x:A]. B[x],
le: A ≤ B,
implies: P ⇒ Q,
apply: f a,
natural_number: $n,
universe: Type
Lemmas :
sq_stable__le,
zero-le-nat,
le_wf,
nat_wf,
less_than_wf,
bm_compare_wf
\mforall{}[K:Type]. \mforall{}[compare:bm\_compare(K)]. \mforall{}[k1,k2,k3:K].
((0 \mleq{} (compare k1 k2)) {}\mRightarrow{} (0 \mleq{} (compare k2 k3)) {}\mRightarrow{} (0 \mleq{} (compare k1 k3)))
Date html generated:
2015_07_17-AM-08_19_23
Last ObjectModification:
2015_01_27-PM-00_37_05
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