Nuprl Lemma : equipollent-identity-left
∀[A:Type]. Top × A ~ A
Proof
Definitions occuring in Statement :
equipollent: A ~ B,
uall: ∀[x:A]. B[x],
top: Top,
product: x:A × B[x],
universe: Type
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
implies: P ⇒ Q
Lemmas referenced :
equipollent-identity,
top_wf,
top-equipollent-unit
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
isect_memberFormation,
cut,
lemma_by_obid,
sqequalHypSubstitution,
isectElimination,
thin,
hypothesisEquality,
hypothesis,
independent_functionElimination,
universeEquality
Latex:
\mforall{}[A:Type]. Top \mtimes{} A \msim{} A
Date html generated:
2016_05_14-PM-04_00_59
Last ObjectModification:
2015_12_26-PM-07_43_46
Theory : equipollence!!cardinality!
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