Nuprl Lemma : fpf_ap_compose_lemma
∀x,eq,f,g:Top. (g o f(x) ~ g f(x))
Proof
Definitions occuring in Statement :
fpf-compose: g o f,
fpf-ap: f(x),
top: Top,
all: ∀x:A. B[x],
apply: f a,
sqequal: s ~ t
Definitions unfolded in proof :
all: ∀x:A. B[x],
member: t ∈ T,
fpf-compose: g o f,
fpf-ap: f(x),
pi2: snd(t),
compose: f o g
Lemmas referenced :
top_wf
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
lambdaFormation,
cut,
hypothesis,
lemma_by_obid,
sqequalRule
Latex:
\mforall{}x,eq,f,g:Top. (g o f(x) \msim{} g f(x))
Date html generated:
2018_05_21-PM-09_27_40
Last ObjectModification:
2018_02_09-AM-10_23_11
Theory : finite!partial!functions
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