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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