Nuprl Lemma : dlo_eq_wf
∀[a,b:dl-Obj()]. (dlo_eq(a;b) ∈ 𝔹)
Proof
Definitions occuring in Statement :
dlo_eq: dlo_eq(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_eq: dlo_eq(a;b)
Lemmas referenced :
dlo-eq_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()]. (dlo\_eq(a;b) \mmember{} \mBbbB{})
Date html generated:
2019_10_15-AM-11_42_48
Last ObjectModification:
2019_04_04-PM-05_29_32
Theory : dynamic!logic
Home
Index