Nuprl Lemma : bag-size-append
∀[as,bs:Top]. (#(as + bs) ~ #(as) + #(bs))
Proof
Definitions occuring in Statement :
bag-size: #(bs),
bag-append: as + bs,
uall: ∀[x:A]. B[x],
top: Top,
add: n + m,
sqequal: s ~ t
Definitions unfolded in proof :
bag-size: #(bs),
bag-append: as + bs,
uall: ∀[x:A]. B[x],
member: t ∈ T,
top: Top
Lemmas referenced :
length-append,
top_wf
Rules used in proof :
sqequalSubstitution,
sqequalRule,
sqequalReflexivity,
sqequalTransitivity,
computationStep,
cut,
lemma_by_obid,
sqequalHypSubstitution,
isectElimination,
thin,
isect_memberEquality,
voidElimination,
voidEquality,
hypothesis,
isect_memberFormation,
introduction,
sqequalAxiom,
hypothesisEquality,
because_Cache
Latex:
\mforall{}[as,bs:Top]. (\#(as + bs) \msim{} \#(as) + \#(bs))
Date html generated:
2016_05_15-PM-02_25_01
Last ObjectModification:
2015_12_27-AM-09_53_15
Theory : bags
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