Nuprl Lemma : csm-adjoin-ap
∀[sigma,u,I,del:Top]. (((sigma;u))del ~ <(sigma)del, (u)del>)
Proof
Definitions occuring in Statement :
csm-adjoin: (s;u),
csm-ap: (s)x,
uall: ∀[x:A]. B[x],
top: Top,
pair: <a, b>,
sqequal: s ~ t
Definitions unfolded in proof :
csm-ap: (s)x,
csm-adjoin: (s;u),
uall: ∀[x:A]. B[x],
member: t ∈ T
Lemmas referenced :
top_wf
Rules used in proof :
sqequalSubstitution,
sqequalRule,
sqequalReflexivity,
sqequalTransitivity,
computationStep,
isect_memberFormation,
introduction,
cut,
sqequalAxiom,
lemma_by_obid,
hypothesis,
sqequalHypSubstitution,
isect_memberEquality,
isectElimination,
thin,
hypothesisEquality,
because_Cache
Latex:
\mforall{}[sigma,u,I,del:Top]. (((sigma;u))del \msim{} <(sigma)del, (u)del>)
Date html generated:
2016_06_16-PM-05_41_33
Last ObjectModification:
2015_12_28-PM-04_34_28
Theory : cubical!sets
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