Nuprl Lemma : map-map2
∀[as,f,g:Top].  (map(g;map(f;as)) ~ map(g o f;as))
Proof
Definitions occuring in Statement : 
map: map(f;as)
, 
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
Lemmas referenced : 
map_map, 
top_wf
Rules used in proof : 
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].    (map(g;map(f;as))  \msim{}  map(g  o  f;as))
Date html generated:
2016_05_14-AM-06_55_52
Last ObjectModification:
2015_12_26-PM-01_15_13
Theory : omega
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