Nuprl Lemma : cubical-fst-at
∀[a,I,p:Top]. (p.1(a) ~ fst(p(a)))
Proof
Definitions occuring in Statement :
cubical-fst: p.1,
cubical-term-at: u(a),
uall: ∀[x:A]. B[x],
top: Top,
pi1: fst(t),
sqequal: s ~ t
Definitions unfolded in proof :
cubical-term-at: u(a),
presheaf-term-at: u(a),
cubical-fst: p.1,
presheaf-fst: p.1
Lemmas referenced :
presheaf-fst-at
Rules used in proof :
cut,
introduction,
extract_by_obid,
sqequalRule,
sqequalReflexivity,
sqequalSubstitution,
sqequalTransitivity,
computationStep,
hypothesis
Latex:
\mforall{}[a,I,p:Top]. (p.1(a) \msim{} fst(p(a)))
Date html generated:
2018_05_23-AM-09_00_20
Last ObjectModification:
2018_05_20-PM-06_08_19
Theory : cubical!type!theory
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