Nuprl Lemma : bnot_of_le_int
∀[i,j:ℤ]. ¬bi ≤z j = j <z i
Proof
Definitions occuring in Statement :
le_int: i ≤z j,
bnot: ¬bb,
lt_int: i <z j,
bool: 𝔹,
uall: ∀[x:A]. B[x],
int: ℤ,
equal: s = t ∈ T
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
le_int: i ≤z j
Lemmas referenced :
bnot_bnot_elim,
lt_int_wf
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
Error :isect_memberFormation_alt,
introduction,
cut,
hypothesis,
Error :inhabitedIsType,
hypothesisEquality,
sqequalRule,
sqequalHypSubstitution,
isect_memberEquality,
isectElimination,
thin,
axiomEquality,
intEquality,
Error :universeIsType,
lemma_by_obid
Latex:
\mforall{}[i,j:\mBbbZ{}]. \mneg{}\msubb{}i \mleq{}z j = j <z i
Date html generated:
2019_06_20-AM-11_31_07
Last ObjectModification:
2018_09_26-AM-11_14_54
Theory : bool_1
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