Nuprl Lemma : church_ite_false_lemma
∀y,x:Top. (church-ite() church-false() x y ~ y)
Proof
Definitions occuring in Statement :
church-ite: church-ite(),
church-false: church-false(),
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,
church-ite: church-ite(),
church-false: church-false()
Lemmas referenced :
top_wf
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
lambdaFormation,
cut,
hypothesis,
lemma_by_obid,
sqequalRule
Latex:
\mforall{}y,x:Top. (church-ite() church-false() x y \msim{} y)
Date html generated:
2016_05_15-PM-03_22_39
Last ObjectModification:
2015_12_27-PM-01_05_07
Theory : general
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