Nuprl Lemma : map-axiom
∀[f:Top]. (map(f;Ax) ~ Ax)
Proof
Definitions occuring in Statement :
map: map(f;as),
uall: ∀[x:A]. B[x],
top: Top,
sqequal: s ~ t,
axiom: Ax
Definitions unfolded in proof :
it: ⋅,
nil: [],
all: ∀x:A. B[x],
member: t ∈ T,
top: Top,
uall: ∀[x:A]. B[x]
Lemmas referenced :
map_nil_lemma,
top_wf
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
sqequalRule,
cut,
lemma_by_obid,
sqequalHypSubstitution,
dependent_functionElimination,
thin,
isect_memberEquality,
voidElimination,
voidEquality,
hypothesis,
isect_memberFormation,
introduction,
sqequalAxiom
Latex:
\mforall{}[f:Top]. (map(f;Ax) \msim{} Ax)
Date html generated:
2016_05_14-AM-06_29_23
Last ObjectModification:
2015_12_26-PM-00_40_12
Theory : list_0
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