Nuprl Lemma : null_cons_lemma
∀b,a:Top. (null([a / b]) ~ ff)
Proof
Definitions occuring in Statement :
null: null(as),
cons: [a / b],
bfalse: ff,
top: Top,
all: ∀x:A. B[x],
sqequal: s ~ t
Definitions unfolded in proof :
all: ∀x:A. B[x],
member: t ∈ T,
null: null(as),
cons: [a / b]
Lemmas referenced :
top_wf
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
lambdaFormation,
cut,
hypothesis,
lemma_by_obid,
sqequalRule
Latex:
\mforall{}b,a:Top. (null([a / b]) \msim{} ff)
Date html generated:
2016_05_14-AM-06_30_27
Last ObjectModification:
2015_12_26-PM-00_39_25
Theory : list_0
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