Nuprl Lemma : sqle_wf_base
∀[a,b:Base]. (a ≤ b ∈ ℙ)
Proof
Definitions occuring in Statement :
uall: ∀[x:A]. B[x],
prop: ℙ,
member: t ∈ T,
base: Base,
sqle: s ≤ t
Definitions unfolded in proof :
member: t ∈ T,
uall: ∀[x:A]. B[x],
prop: ℙ
Lemmas referenced :
base_wf,
base_sq
Rules used in proof :
because_Cache,
hypothesisEquality,
thin,
isectElimination,
isect_memberEquality,
extract_by_obid,
equalitySymmetry,
equalityTransitivity,
axiomEquality,
sqequalRule,
hypothesis,
sqequalHypSubstitution,
cut,
introduction,
isect_memberFormation,
sqequalReflexivity,
computationStep,
sqequalTransitivity,
sqequalSubstitution,
sqleIntensionalEquality
Latex:
\mforall{}[a,b:Base]. (a \mleq{} b \mmember{} \mBbbP{})
Date html generated:
2019_06_20-AM-11_20_32
Last ObjectModification:
2018_10_15-PM-10_40_34
Theory : call!by!value_1
Home
Index