Nuprl Lemma : face-and-at
∀[r,s,I,rho:Top]. ((r ∧ s)(rho) ~ r(rho) ∧ s(rho))
Proof
Definitions occuring in Statement :
face-and: (a ∧ b),
cubical-term-at: u(a),
face_lattice: face_lattice(I),
lattice-meet: a ∧ b,
uall: ∀[x:A]. B[x],
top: Top,
sqequal: s ~ t
Definitions unfolded in proof :
cubical-term-at: u(a),
face-and: (a ∧ b),
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{}[r,s,I,rho:Top]. ((r \mwedge{} s)(rho) \msim{} r(rho) \mwedge{} s(rho))
Date html generated:
2016_05_19-AM-08_25_15
Last ObjectModification:
2016_03_06-PM-01_23_28
Theory : cubical!type!theory
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