Nuprl Lemma : csm-interval-meet
∀[h,r,s:Top]. ((r ∧ s)h ~ (r)h ∧ (s)h)
Proof
Definitions occuring in Statement :
interval-meet: r ∧ s,
csm-ap-term: (t)s,
uall: ∀[x:A]. B[x],
top: Top,
sqequal: s ~ t
Definitions unfolded in proof :
interval-meet: r ∧ s,
csm-ap-term: (t)s,
cubical-term-at: u(a),
csm-ap: (s)x,
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,
extract_by_obid,
hypothesis,
sqequalHypSubstitution,
isect_memberEquality,
isectElimination,
thin,
hypothesisEquality,
because_Cache
Latex:
\mforall{}[h,r,s:Top]. ((r \mwedge{} s)h \msim{} (r)h \mwedge{} (s)h)
Date html generated:
2017_01_10-AM-08_44_29
Last ObjectModification:
2016_12_01-PM-00_57_01
Theory : cubical!type!theory
Home
Index