Nuprl Lemma : less_than_anti-reflexive
∀[x:ℤ]. (¬x < x)
Proof
Definitions occuring in Statement :
less_than: a < b,
uall: ∀[x:A]. B[x],
not: ¬A,
int: ℤ
Definitions unfolded in proof :
not: ¬A
Lemmas referenced :
less_than_irreflexivity
Rules used in proof :
cut,
lemma_by_obid,
sqequalHypSubstitution,
sqequalSubstitution,
sqequalRule,
sqequalReflexivity,
sqequalTransitivity,
computationStep,
hypothesis
Latex:
\mforall{}[x:\mBbbZ{}]. (\mneg{}x < x)
Date html generated:
2016_05_13-PM-03_30_04
Last ObjectModification:
2015_12_26-AM-09_47_10
Theory : arithmetic
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