Nuprl Lemma : nh-comp-sq
∀[I,J,f,g:Top]. (g ⋅ f ~ dM-lift(I;J;f) o g)
Proof
Definitions occuring in Statement :
nh-comp: g ⋅ f,
dM-lift: dM-lift(I;J;f),
compose: f o g,
uall: ∀[x:A]. B[x],
top: Top,
sqequal: s ~ t
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
nh-comp: g ⋅ f,
dma-lift-compose: dma-lift-compose(I;J;eqi;eqj;f;g),
dM: dM(I),
dM-lift: dM-lift(I;J;f)
Lemmas referenced :
top_wf
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
isect_memberFormation,
introduction,
cut,
hypothesis,
sqequalAxiom,
lemma_by_obid,
sqequalRule,
sqequalHypSubstitution,
isect_memberEquality,
isectElimination,
thin,
hypothesisEquality,
because_Cache
Latex:
\mforall{}[I,J,f,g:Top]. (g \mcdot{} f \msim{} dM-lift(I;J;f) o g)
Date html generated:
2016_05_18-AM-11_59_34
Last ObjectModification:
2015_12_28-PM-03_06_57
Theory : cubical!type!theory
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