Nuprl Lemma : int-div-exception
∀[x:ℤ]. ∀[u,v:Top]. (x ÷ exception(u; v) ~ exception(u; v))
Proof
Definitions occuring in Statement :
uall: ∀[x:A]. B[x],
top: Top,
divide: n ÷ m,
int: ℤ,
sqequal: s ~ t
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T
Lemmas referenced :
top_wf
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
Error :isect_memberFormation_alt,
introduction,
cut,
exceptionDivide,
hypothesisEquality,
hypothesis,
axiomSqEquality,
Error :inhabitedIsType,
sqequalRule,
sqequalHypSubstitution,
Error :isect_memberEquality_alt,
isectElimination,
thin,
Error :isectIsTypeImplies,
Error :universeIsType,
extract_by_obid,
intEquality
Latex:
\mforall{}[x:\mBbbZ{}]. \mforall{}[u,v:Top]. (x \mdiv{} exception(u; v) \msim{} exception(u; v))
Date html generated:
2019_06_20-AM-11_21_59
Last ObjectModification:
2018_10_15-PM-03_22_12
Theory : arithmetic
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