Nuprl Lemma : sqequal_zero
∀[x,y:Top]. (x ~0 y)
Proof
Definitions occuring in Statement :
uall: ∀[x:A]. B[x],
top: Top,
natural_number: $n,
sqequal_n: s ~n t
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T
Lemmas referenced :
top_wf
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
Error :isect_memberFormation_alt,
introduction,
cut,
sqequalZero,
Error :axiomSqequalN,
hypothesis,
Error :inhabitedIsType,
hypothesisEquality,
sqequalRule,
sqequalHypSubstitution,
Error :isect_memberEquality_alt,
isectElimination,
thin,
Error :isectIsTypeImplies,
Error :universeIsType,
extract_by_obid
Latex:
\mforall{}[x,y:Top]. (x \msim{}0 y)
Date html generated:
2019_06_20-AM-11_19_41
Last ObjectModification:
2018_10_15-AM-09_58_58
Theory : sqequal_1
Home
Index