Nuprl Lemma : vs-add-comm
∀K:RngSig. ∀vs:VectorSpace(K). ∀x,y:Point(vs). (x + y = y + x ∈ Point(vs))
Proof
Definitions occuring in Statement :
vs-add: x + y,
vector-space: VectorSpace(K),
vs-point: Point(vs),
all: ∀x:A. B[x],
equal: s = t ∈ T,
rng_sig: RngSig
Definitions unfolded in proof :
all: ∀x:A. B[x],
member: t ∈ T,
uall: ∀[x:A]. B[x]
Lemmas referenced :
vs-add-comm-nu,
vs-point_wf,
vector-space_wf,
rng_sig_wf
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
lambdaFormation,
cut,
introduction,
extract_by_obid,
sqequalHypSubstitution,
dependent_functionElimination,
thin,
hypothesisEquality,
hypothesis,
isectElimination
Latex:
\mforall{}K:RngSig. \mforall{}vs:VectorSpace(K). \mforall{}x,y:Point(vs). (x + y = y + x)
Date html generated:
2018_05_22-PM-09_40_26
Last ObjectModification:
2018_05_20-PM-10_41_30
Theory : linear!algebra
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