Nuprl Lemma : csm-face-or
∀[r,s,sigma:Top]. (((r ∨ s))sigma ~ ((r)sigma ∨ (s)sigma))
Proof
Definitions occuring in Statement :
face-or: (a ∨ b),
csm-ap-term: (t)s,
uall: ∀[x:A]. B[x],
top: Top,
sqequal: s ~ t
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
csm-ap-term: (t)s,
face-or: (a ∨ b),
csm-ap: (s)x,
cubical-term-at: u(a)
Lemmas referenced :
top_wf
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
isect_memberFormation,
introduction,
cut,
sqequalRule,
hypothesis,
sqequalAxiom,
lemma_by_obid,
sqequalHypSubstitution,
isect_memberEquality,
isectElimination,
thin,
hypothesisEquality,
because_Cache
Latex:
\mforall{}[r,s,sigma:Top]. (((r \mvee{} s))sigma \msim{} ((r)sigma \mvee{} (s)sigma))
Date html generated:
2016_05_19-AM-08_25_43
Last ObjectModification:
2016_04_05-PM-02_45_34
Theory : cubical!type!theory
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