Nuprl Lemma : fpf_dom_compose_lemma
∀f,g,x,eq:Top.  (x ∈ dom(g o f) ~ x ∈ dom(f))
Proof
Definitions occuring in Statement : 
fpf-compose: g o f
, 
fpf-dom: x ∈ dom(f)
, 
top: Top
, 
all: ∀x:A. B[x]
, 
sqequal: s ~ t
Definitions unfolded in proof : 
all: ∀x:A. B[x]
, 
member: t ∈ T
, 
fpf-compose: g o f
, 
fpf-dom: x ∈ dom(f)
, 
pi1: fst(t)
Latex:
\mforall{}f,g,x,eq:Top.    (x  \mmember{}  dom(g  o  f)  \msim{}  x  \mmember{}  dom(f))
Date html generated:
2016_05_16-AM-11_26_58
Last ObjectModification:
2015_12_29-AM-09_23_27
Theory : event-ordering
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