Nuprl Lemma : length-open_box_image
∀[X,I,K,f,bx:Top]. (||open_box_image(X;I;K;f;bx)|| ~ ||bx||)
Proof
Definitions occuring in Statement :
open_box_image: open_box_image(X;I;K;f;bx),
length: ||as||,
uall: ∀[x:A]. B[x],
top: Top,
sqequal: s ~ t
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
open_box_image: open_box_image(X;I;K;f;bx),
member: t ∈ T,
top: Top
Lemmas referenced :
map-length,
top_wf
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
isect_memberFormation,
sqequalRule,
cut,
lemma_by_obid,
sqequalHypSubstitution,
isectElimination,
thin,
isect_memberEquality,
voidElimination,
voidEquality,
hypothesisEquality,
hypothesis,
because_Cache
Latex:
\mforall{}[X,I,K,f,bx:Top]. (||open\_box\_image(X;I;K;f;bx)|| \msim{} ||bx||)
Date html generated:
2016_06_16-PM-06_41_27
Last ObjectModification:
2015_12_28-PM-04_26_40
Theory : cubical!sets
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