Nuprl Lemma : s_hd_cons_lemma
∀b,a:Top. (s-hd(a.b) ~ a)
Proof
Definitions occuring in Statement :
s-cons: x.s,
s-hd: s-hd(s),
top: Top,
all: ∀x:A. B[x],
sqequal: s ~ t
Definitions unfolded in proof :
all: ∀x:A. B[x],
member: t ∈ T,
s-cons: x.s,
s-hd: s-hd(s),
pi1: fst(t)
Lemmas referenced :
top_wf
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
lambdaFormation,
cut,
hypothesis,
lemma_by_obid,
sqequalRule
Latex:
\mforall{}b,a:Top. (s-hd(a.b) \msim{} a)
Date html generated:
2016_05_14-AM-06_22_31
Last ObjectModification:
2015_12_26-AM-11_59_23
Theory : co-recursion
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