Nuprl Lemma : general_arith_equation1
∀[b:ℤ]. ∀[a,c:Top]. ((a - b) + c ~ (a + c) - b)
Proof
Definitions occuring in Statement :
uall: ∀[x:A]. B[x],
top: Top,
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 :
top_wf,
add-commutes,
add-associates
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
isect_memberFormation,
introduction,
cut,
hypothesis,
sqequalAxiom,
lemma_by_obid,
sqequalRule,
sqequalHypSubstitution,
isect_memberEquality,
isectElimination,
thin,
hypothesisEquality,
because_Cache,
intEquality,
voidElimination,
voidEquality,
minusEquality
Latex:
\mforall{}[b:\mBbbZ{}]. \mforall{}[a,c:Top]. ((a - b) + c \msim{} (a + c) - b)
Date html generated:
2016_05_13-PM-03_39_09
Last ObjectModification:
2015_12_26-AM-09_41_16
Theory : arithmetic
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