Nuprl Lemma : lg-contains_transitivity
∀[T:Type]. ∀g1,g2,g3:LabeledGraph(T). (g1 ⊆ g2 ⇒ g2 ⊆ g3 ⇒ g1 ⊆ g3)
Proof
Definitions occuring in Statement :
lg-contains: g1 ⊆ g2,
labeled-graph: LabeledGraph(T),
uall: ∀[x:A]. B[x],
all: ∀x:A. B[x],
implies: P ⇒ Q,
universe: Type
Lemmas :
exists_wf,
equal_wf,
lg-append_wf,
labeled-graph_wf,
lg-append_assoc
Latex:
\mforall{}[T:Type]. \mforall{}g1,g2,g3:LabeledGraph(T). (g1 \msubseteq{} g2 {}\mRightarrow{} g2 \msubseteq{} g3 {}\mRightarrow{} g1 \msubseteq{} g3)
Date html generated:
2015_07_22-PM-00_28_05
Last ObjectModification:
2015_01_28-PM-11_33_56
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