Nuprl Lemma : rng_plus_comm2
∀[r:Rng]. Comm(|r|;+r)
Proof
Definitions occuring in Statement :
rng: Rng,
rng_plus: +r,
rng_car: |r|,
comm: Comm(T;op),
uall: ∀[x:A]. B[x]
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
comm: Comm(T;op),
rng: Rng
Lemmas referenced :
rng_plus_comm,
rng_car_wf,
rng_wf
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
isect_memberFormation,
introduction,
cut,
lemma_by_obid,
sqequalHypSubstitution,
isectElimination,
thin,
hypothesisEquality,
hypothesis,
sqequalRule,
isect_memberEquality,
axiomEquality,
setElimination,
rename
Latex:
\mforall{}[r:Rng]. Comm(|r|;+r)
Date html generated:
2016_05_15-PM-00_21_51
Last ObjectModification:
2015_12_27-AM-00_01_49
Theory : rings_1
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