Nuprl Lemma : geo-le-same
∀[e:BasicGeometry]. ∀[p:Length]. p ≤ p
Proof
Definitions occuring in Statement :
geo-le: p ≤ q,
geo-length-type: Length,
basic-geometry: BasicGeometry,
uall: ∀[x:A]. B[x]
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
uimplies: b supposing a,
geo-le: p ≤ q,
squash: ↓T
Lemmas referenced :
geo-le_weakening,
geo-length-type_wf,
basic-geometry_wf
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
isect_memberFormation_alt,
introduction,
cut,
extract_by_obid,
sqequalHypSubstitution,
isectElimination,
thin,
hypothesisEquality,
independent_isectElimination,
hypothesis,
sqequalRule,
imageElimination,
imageMemberEquality,
baseClosed,
universeIsType,
isect_memberEquality_alt,
isectIsTypeImplies,
inhabitedIsType
Latex:
\mforall{}[e:BasicGeometry]. \mforall{}[p:Length]. p \mleq{} p
Date html generated:
2019_10_16-PM-01_16_25
Last ObjectModification:
2018_11_12-PM-03_19_50
Theory : euclidean!plane!geometry
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