Nuprl Lemma : tupletype_nil_lemma
tuple-type([]) ~ Unit
Proof
Definitions occuring in Statement :
tuple-type: tuple-type(L),
nil: [],
unit: Unit,
sqequal: s ~ t
Definitions unfolded in proof :
tuple-type: tuple-type(L),
all: ∀x:A. B[x],
so_lambda: so_lambda(x,y,z.t[x; y; z]),
member: t ∈ T,
top: Top,
so_apply: x[s1;s2;s3]
Lemmas referenced :
list_ind_nil_lemma
Rules used in proof :
sqequalSubstitution,
sqequalRule,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
cut,
lemma_by_obid,
sqequalHypSubstitution,
dependent_functionElimination,
thin,
isect_memberEquality,
voidElimination,
voidEquality,
hypothesis
Latex:
tuple-type([]) \msim{} Unit
Date html generated:
2016_05_14-PM-03_57_24
Last ObjectModification:
2015_12_26-PM-07_22_15
Theory : tuples
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