Nuprl Lemma : l_ind_nil_lemma
∀A,x:Top. (l-ind([];x;h,t,r.A[h;t;r]) ~ x)
Proof
Definitions occuring in Statement :
l-ind: l-ind(L;nilcase;h,t,r.F[h; t; r]),
nil: [],
top: Top,
so_apply: x[s1;s2;s3],
all: ∀x:A. B[x],
sqequal: s ~ t
Definitions unfolded in proof :
all: ∀x:A. B[x],
member: t ∈ T,
l-ind: l-ind(L;nilcase;h,t,r.F[h; t; r]),
nil: [],
it: ⋅
Lemmas referenced :
top_wf
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
lambdaFormation,
cut,
hypothesis,
lemma_by_obid,
sqequalRule
Latex:
\mforall{}A,x:Top. (l-ind([];x;h,t,r.A[h;t;r]) \msim{} x)
Date html generated:
2016_05_14-AM-06_26_51
Last ObjectModification:
2015_12_26-PM-00_41_39
Theory : list_0
Home
Index