Nuprl Lemma : church_null_pair_lemma
∀y,x:Top. (church-null() (church-pair() x y) ~ church-false())
Proof
Definitions occuring in Statement :
church-null: church-null(),
church-pair: church-pair(),
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-null: church-null(),
church-pair: church-pair()
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-null() (church-pair() x y) \msim{} church-false())
Date html generated:
2016_05_15-PM-03_22_51
Last ObjectModification:
2015_12_27-PM-01_05_18
Theory : general
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