Nuprl Lemma : csm-type-at
∀s,A,I,alpha:Top. ((A)s(alpha) ~ A((s)alpha))
Proof
Definitions occuring in Statement :
csm-ap-type: (AF)s,
cubical-type-at: A(a),
csm-ap: (s)x,
top: Top,
all: ∀x:A. B[x],
sqequal: s ~ t
Definitions unfolded in proof :
cubical-type-at: A(a),
presheaf-type-at: A(a),
csm-ap-type: (AF)s,
pscm-ap-type: (AF)s,
csm-ap: (s)x,
pscm-ap: (s)x
Lemmas referenced :
pscm-type-at
Rules used in proof :
cut,
introduction,
extract_by_obid,
sqequalRule,
sqequalReflexivity,
sqequalSubstitution,
sqequalTransitivity,
computationStep,
hypothesis
Latex:
\mforall{}s,A,I,alpha:Top. ((A)s(alpha) \msim{} A((s)alpha))
Date html generated:
2018_05_23-AM-08_49_42
Last ObjectModification:
2018_05_20-PM-05_59_08
Theory : cubical!type!theory
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