Nuprl Lemma : formal-sum-add-assoc
∀[x,y,z:Top]. (x + y + z ~ x + y + z)
Proof
Definitions occuring in Statement :
formal-sum-add: x + y,
uall: ∀[x:A]. B[x],
top: Top,
sqequal: s ~ t
Definitions unfolded in proof :
formal-sum-add: x + y,
uall: ∀[x:A]. B[x],
member: t ∈ T
Lemmas referenced :
bag-append-assoc2,
top_wf
Rules used in proof :
sqequalSubstitution,
sqequalRule,
sqequalReflexivity,
sqequalTransitivity,
computationStep,
isect_memberFormation,
introduction,
cut,
extract_by_obid,
sqequalHypSubstitution,
isectElimination,
thin,
hypothesisEquality,
hypothesis,
sqequalAxiom,
isect_memberEquality,
because_Cache
Latex:
\mforall{}[x,y,z:Top]. (x + y + z \msim{} x + y + z)
Date html generated:
2018_05_22-PM-09_45_34
Last ObjectModification:
2017_11_17-PM-03_38_33
Theory : linear!algebra
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