Nuprl Lemma : lg-size-add

[T:Type]. ∀[g:LabeledGraph(T)]. ∀[x,y:ℤ].  (lg-size(lg-add(g;x;y)) lg-size(g) ∈ ℤ)


Proof




Definitions occuring in Statement :  lg-add: lg-add(g;a;b) lg-size: lg-size(g) labeled-graph: LabeledGraph(T) uall: [x:A]. B[x] int: universe: Type equal: t ∈ T
Definitions unfolded in proof :  uall: [x:A]. B[x] member: t ∈ T lg-size: lg-size(g) lg-add: lg-add(g;a;b) top: Top subtype_rel: A ⊆B nat:

Latex:
\mforall{}[T:Type].  \mforall{}[g:LabeledGraph(T)].  \mforall{}[x,y:\mBbbZ{}].    (lg-size(lg-add(g;x;y))  =  lg-size(g))



Date html generated: 2016_05_17-AM-10_09_14
Last ObjectModification: 2015_12_29-PM-05_33_34

Theory : process-model


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