Nuprl Lemma : ge_wf

∀[i,j:ℤ].  (i ≥ j  ∈ ℙ)


Proof




Definitions occuring in Statement :  uall: ∀[x:A]. B[x],  prop: ℙ,  ge: i ≥ j ,  member: t ∈ T,  int: ℤ
Definitions unfolded in proof :  uall: ∀[x:A]. B[x],  member: t ∈ T,  ge: i ≥ j 
Lemmas referenced :  le_wf
Rules used in proof :  sqequalSubstitution,  sqequalTransitivity,  computationStep,  sqequalReflexivity,  Error :isect_memberFormation_alt,  introduction,  cut,  sqequalRule,  extract_by_obid,  sqequalHypSubstitution,  isectElimination,  thin,  hypothesisEquality,  hypothesis,  axiomEquality,  equalityTransitivity,  equalitySymmetry,  Error :inhabitedIsType,  isect_memberEquality,  intEquality,  Error :universeIsType

Latex:
\mforall{}[i,j:\mBbbZ{}].    (i  \mgeq{}  j    \mmember{}  \mBbbP{})



Date html generated: 2019_06_20-AM-11_22_30
Last ObjectModification: 2018_09_26-AM-10_58_14

Theory : arithmetic


Home Index