Nuprl Lemma : zero-mul
∀[x:ℤ]. (0 * x ~ 0)
Proof
Definitions occuring in Statement :
uall: ∀[x:A]. B[x],
multiply: n * m,
natural_number: $n,
int: ℤ,
sqequal: s ~ t
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
top: Top
Lemmas referenced :
mul-distributes-right,
one-mul,
add-associates,
add-inverse,
add-zero
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
isect_memberFormation,
introduction,
cut,
sqequalRule,
lemma_by_obid,
sqequalHypSubstitution,
isectElimination,
thin,
hypothesisEquality,
isect_memberEquality,
voidElimination,
voidEquality,
hypothesis,
because_Cache,
sqequalAxiom,
intEquality,
multiplyEquality,
natural_numberEquality
Latex:
\mforall{}[x:\mBbbZ{}]. (0 * x \msim{} 0)
Date html generated:
2016_05_13-PM-03_29_14
Last ObjectModification:
2015_12_26-AM-09_47_52
Theory : arithmetic
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