Nuprl Lemma : div-self
∀[y:ℤ-o]. (y ÷ y ~ 1)
Proof
Definitions occuring in Statement :
int_nzero: ℤ-o,
uall: ∀[x:A]. B[x],
divide: n ÷ m,
natural_number: $n,
sqequal: s ~ t
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
int_nzero: ℤ-o
Lemmas referenced :
div-cancel,
one-mul,
int_nzero_wf
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
isect_memberFormation,
introduction,
cut,
lemma_by_obid,
sqequalHypSubstitution,
isectElimination,
thin,
natural_numberEquality,
hypothesisEquality,
sqequalRule,
setElimination,
rename,
hypothesis,
sqequalAxiom
Latex:
\mforall{}[y:\mBbbZ{}\msupminus{}\msupzero{}]. (y \mdiv{} y \msim{} 1)
Date html generated:
2016_05_14-AM-07_24_12
Last ObjectModification:
2015_12_26-PM-01_29_36
Theory : int_2
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