Nuprl Lemma : not-gt-2

∀x,y:ℤ.  uiff(¬(y > x);y ≤ x)


Proof




Definitions occuring in Statement :  uiff: uiff(P;Q),  gt: i > j,  le: A ≤ B,  all: ∀x:A. B[x],  not: ¬A,  int: ℤ
Definitions unfolded in proof :  gt: i > j
Lemmas referenced :  not-lt-2
Rules used in proof :  sqequalSubstitution,  sqequalRule,  sqequalReflexivity,  sqequalTransitivity,  computationStep,  cut,  lemma_by_obid,  hypothesis

Latex:
\mforall{}x,y:\mBbbZ{}.    uiff(\mneg{}(y  >  x);y  \mleq{}  x)



Date html generated: 2016_05_13-PM-03_31_06
Last ObjectModification: 2015_12_26-AM-09_46_09

Theory : arithmetic


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