Nuprl Lemma : bag-map-map
∀[as,f,g:Top]. (bag-map(f;bag-map(g;as)) ~ bag-map(f o g;as))
Proof
Definitions occuring in Statement :
bag-map: bag-map(f;bs),
compose: f o g,
uall: ∀[x:A]. B[x],
top: Top,
sqequal: s ~ t
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
bag-map: bag-map(f;bs)
Lemmas referenced :
map-map,
top_wf
Rules used in proof :
comment,
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
isect_memberFormation,
introduction,
cut,
lemma_by_obid,
sqequalHypSubstitution,
isectElimination,
thin,
hypothesisEquality,
hypothesis,
sqequalAxiom,
sqequalRule,
isect_memberEquality,
because_Cache
Latex:
\mforall{}[as,f,g:Top]. (bag-map(f;bag-map(g;as)) \msim{} bag-map(f o g;as))
Date html generated:
2016_05_15-PM-02_25_46
Last ObjectModification:
2015_12_27-AM-09_52_43
Theory : bags
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