Nuprl Lemma : free-from-atom-Id
∀[i:Id]. ∀[a:Atom1]. a#i:Id
Proof
Definitions occuring in Statement :
Id: Id,
free-from-atom: a#x:T,
atom: Atom$n,
uall: ∀[x:A]. B[x]
Definitions unfolded in proof :
Id: Id,
uall: ∀[x:A]. B[x],
member: t ∈ T
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
Error :isect_memberFormation_alt,
introduction,
cut,
freeFromAtom1Atom2,
hypothesisEquality,
freeFromAtomAxiom,
hypothesis,
Error :universeIsType,
atomnEquality,
sqequalRule,
sqequalHypSubstitution,
Error :isect_memberEquality_alt,
isectElimination,
thin,
Error :isectIsTypeImplies,
Error :inhabitedIsType
Latex:
\mforall{}[i:Id]. \mforall{}[a:Atom1]. a\#i:Id
Date html generated:
2019_06_20-PM-01_58_24
Last ObjectModification:
2019_01_28-PM-01_46_59
Theory : decidable!equality
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