Nuprl Lemma : equal-top

∀[x,y:Top].  (x = y ∈ Top)


Proof




Definitions occuring in Statement :  uall: ∀[x:A]. B[x],  top: Top,  equal: s = t ∈ T
Definitions unfolded in proof :  top: Top,  uall: ∀[x:A]. B[x],  member: t ∈ T
Rules used in proof :  sqequalSubstitution,  sqequalTransitivity,  computationStep,  sqequalReflexivity,  isect_memberFormation,  introduction,  cut,  isect_memberEquality,  voidElimination,  voidEquality,  hypothesis,  isectEquality,  sqequalRule,  sqequalHypSubstitution,  isectElimination,  thin,  hypothesisEquality,  axiomEquality,  because_Cache

Latex:
\mforall{}[x,y:Top].    (x  =  y)



Date html generated: 2016_05_13-PM-03_16_09
Last ObjectModification: 2016_01_06-PM-05_20_56

Theory : core_2


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