Nuprl Lemma : omral_one_wf

∀g:OCMon. ∀r:CDRng.  (11 ∈ |omral(g;r)|)


Proof




Definitions occuring in Statement :  omral_one: 11,  omralist: omral(g;r),  all: ∀x:A. B[x],  member: t ∈ T,  cdrng: CDRng,  ocmon: OCMon,  set_car: |p|
Definitions unfolded in proof :  omral_one: 11,  all: ∀x:A. B[x],  member: t ∈ T,  uall: ∀[x:A]. B[x],  ocmon: OCMon,  abmonoid: AbMon,  mon: Mon,  cdrng: CDRng,  crng: CRng,  rng: Rng
Lemmas referenced :  omral_inj_wf,  grp_id_wf,  rng_one_wf,  cdrng_wf,  ocmon_wf
Rules used in proof :  sqequalSubstitution,  sqequalRule,  sqequalReflexivity,  sqequalTransitivity,  computationStep,  lambdaFormation,  cut,  lemma_by_obid,  sqequalHypSubstitution,  dependent_functionElimination,  thin,  hypothesisEquality,  isectElimination,  setElimination,  rename,  hypothesis

Latex:
\mforall{}g:OCMon.  \mforall{}r:CDRng.    (11  \mmember{}  |omral(g;r)|)



Date html generated: 2016_05_16-AM-08_26_31
Last ObjectModification: 2015_12_28-PM-06_38_21

Theory : polynom_3


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