Nuprl Lemma : rset_wf
Set(ℝ) ∈ 𝕌'
Proof
Definitions occuring in Statement :
rset: Set(ℝ),
member: t ∈ T,
universe: Type
Definitions unfolded in proof :
rset: Set(ℝ),
member: t ∈ T,
prop: ℙ,
uall: ∀[x:A]. B[x],
so_lambda: λ2x.t[x],
implies: P ⇒ Q,
so_apply: x[s],
all: ∀x:A. B[x]
Lemmas referenced :
real_wf,
all_wf,
req_wf
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
setEquality,
functionEquality,
cumulativity,
cut,
lemma_by_obid,
hypothesis,
universeEquality,
sqequalHypSubstitution,
isectElimination,
thin,
sqequalRule,
lambdaEquality,
hypothesisEquality,
applyEquality
Latex:
Set(\mBbbR{}) \mmember{} \mBbbU{}'
Date html generated:
2016_05_18-AM-08_07_18
Last ObjectModification:
2015_12_28-AM-01_13_45
Theory : reals
Home
Index