Nuprl Lemma : rgt_wf

∀[x,y:ℝ].  (x > y ∈ ℙ)


Proof




Definitions occuring in Statement :  rgt: x > y,  real: ℝ,  uall: ∀[x:A]. B[x],  prop: ℙ,  member: t ∈ T
Definitions unfolded in proof :  uall: ∀[x:A]. B[x],  member: t ∈ T,  rgt: x > y
Lemmas referenced :  rless_wf,  real_wf
Rules used in proof :  sqequalSubstitution,  sqequalTransitivity,  computationStep,  sqequalReflexivity,  isect_memberFormation,  introduction,  cut,  sqequalRule,  lemma_by_obid,  sqequalHypSubstitution,  isectElimination,  thin,  hypothesisEquality,  hypothesis,  axiomEquality,  equalityTransitivity,  equalitySymmetry,  isect_memberEquality,  because_Cache

Latex:
\mforall{}[x,y:\mBbbR{}].    (x  >  y  \mmember{}  \mBbbP{})



Date html generated: 2016_05_18-AM-07_05_21
Last ObjectModification: 2015_12_28-AM-00_36_06

Theory : reals


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