Nuprl Lemma : subtract-add-cancel
∀[x,y:ℤ]. ((x - y) + y ~ x)
Proof
Definitions occuring in Statement :
uall: ∀[x:A]. B[x],
subtract: n - m,
add: n + m,
int: ℤ,
sqequal: s ~ t
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
subtract: n - m,
top: Top
Lemmas referenced :
add-associates,
add-inverse2,
add-zero
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
isect_memberFormation,
introduction,
cut,
sqequalRule,
lemma_by_obid,
sqequalHypSubstitution,
isectElimination,
thin,
isect_memberEquality,
voidElimination,
voidEquality,
hypothesis,
hypothesisEquality,
sqequalAxiom,
intEquality,
because_Cache
Latex:
\mforall{}[x,y:\mBbbZ{}]. ((x - y) + y \msim{} x)
Date html generated:
2016_05_13-PM-03_28_59
Last ObjectModification:
2015_12_26-AM-09_47_57
Theory : arithmetic
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