Nuprl Lemma : cdrng_subtype_drng
CDRng ⊆r DRng
Proof
Definitions occuring in Statement :
cdrng: CDRng,
drng: DRng,
subtype_rel: A ⊆r B
Definitions unfolded in proof :
subtype_rel: A ⊆r B,
member: t ∈ T,
cdrng: CDRng,
drng: DRng,
crng: CRng,
rng: Rng,
and: P ∧ Q,
cand: A c∧ B,
uall: ∀[x:A]. B[x],
prop: ℙ
Lemmas referenced :
rng_properties,
rng_eq_wf,
eqfun_p_wf,
rng_one_wf,
rng_times_wf,
rng_minus_wf,
rng_zero_wf,
rng_plus_wf,
rng_car_wf,
ring_p_wf,
cdrng_wf
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
lambdaEquality,
cut,
lemma_by_obid,
hypothesis,
sqequalHypSubstitution,
setElimination,
thin,
rename,
dependent_set_memberEquality,
hypothesisEquality,
independent_pairFormation,
productEquality,
isectElimination
Latex:
CDRng \msubseteq{}r DRng
Date html generated:
2016_05_15-PM-00_20_52
Last ObjectModification:
2016_04_01-AM-00_44_26
Theory : rings_1
Home
Index