Nuprl Lemma : spread-trivial
∀[x:Top × Top]. ∀[y:Top]. (let a,b = x in y ~ y)
Proof
Definitions occuring in Statement :
uall: ∀[x:A]. B[x],
top: Top,
spread: spread def,
product: x:A × B[x],
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,
isect_memberFormation,
introduction,
cut,
productElimination,
thin,
sqequalRule,
sqequalAxiom,
lemma_by_obid,
hypothesis,
sqequalHypSubstitution,
isect_memberEquality,
isectElimination,
hypothesisEquality,
productEquality
Latex:
\mforall{}[x:Top \mtimes{} Top]. \mforall{}[y:Top]. (let a,b = x in y \msim{} y)
Date html generated:
2016_05_15-PM-03_25_43
Last ObjectModification:
2015_12_27-PM-01_07_16
Theory : general
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