Nuprl Lemma : add-inverse2
∀[x:ℤ]. ((-x) + x ~ 0)
Proof
Definitions occuring in Statement :
uall: ∀[x:A]. B[x],
add: n + m,
minus: -n,
natural_number: $n,
int: ℤ,
sqequal: s ~ t
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
top: Top
Lemmas referenced :
add-commutes,
add-inverse
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
isect_memberFormation,
introduction,
cut,
sqequalRule,
lemma_by_obid,
sqequalHypSubstitution,
isectElimination,
thin,
minusEquality,
hypothesisEquality,
isect_memberEquality,
voidElimination,
voidEquality,
hypothesis,
sqequalAxiom,
intEquality
Latex:
\mforall{}[x:\mBbbZ{}]. ((-x) + x \msim{} 0)
Date html generated:
2016_05_13-PM-03_28_50
Last ObjectModification:
2015_12_26-AM-09_48_04
Theory : arithmetic
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