Nuprl Lemma : rng_abmon_wf
rng_abmon{i}() ∈ 𝕌'
Proof
Definitions occuring in Statement :
rng_abmon: rng_abmon{i}(),
member: t ∈ T,
universe: Type
Definitions unfolded in proof :
rng_abmon: rng_abmon{i}(),
member: t ∈ T,
uall: ∀[x:A]. B[x],
and: P ∧ Q,
prop: ℙ
Lemmas referenced :
rng_sig_wf,
and_wf,
monoid_p_wf,
rng_car_wf,
rng_plus_wf,
rng_zero_wf,
comm_wf,
eqfun_p_wf,
rng_eq_wf
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
setEquality,
cut,
lemma_by_obid,
hypothesis,
cumulativity,
sqequalHypSubstitution,
isectElimination,
thin,
hypothesisEquality
Latex:
rng\_abmon\{i\}() \mmember{} \mBbbU{}'
Date html generated:
2016_05_16-AM-08_11_38
Last ObjectModification:
2015_12_28-PM-06_06_15
Theory : list_3
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