Nuprl Lemma : dlo_le_wf
∀[a,b:dl-Obj()]. (a ≤ b ∈ 𝔹)
Proof
Definitions occuring in Statement :
dlo_le: a ≤ b,
dl-Obj: dl-Obj(),
bool: 𝔹,
uall: ∀[x:A]. B[x],
member: t ∈ T
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
dlo_le: a ≤ b
Lemmas referenced :
dlo-le_wf,
dl-Obj_wf
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
isect_memberFormation_alt,
introduction,
cut,
sqequalRule,
applyEquality,
extract_by_obid,
hypothesis,
hypothesisEquality,
sqequalHypSubstitution,
axiomEquality,
equalityTransitivity,
equalitySymmetry,
inhabitedIsType,
isect_memberEquality_alt,
isectElimination,
thin,
isectIsTypeImplies,
universeIsType
Latex:
\mforall{}[a,b:dl-Obj()]. (a \mleq{} b \mmember{} \mBbbB{})
Date html generated:
2019_10_15-AM-11_43_17
Last ObjectModification:
2019_04_11-PM-01_56_41
Theory : dynamic!logic
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