Step
*
of Lemma
empty-cubical-subset-term
∀[I:fset(ℕ)]. ∀[phi:Point(face_lattice(I))].
∀[X,A,B:Top]. (A = B ∈ {I,phi ⊢ _:X}) supposing phi = 0 ∈ Point(face_lattice(I))
BY
{ (Auto
THEN EqTypeCD
THEN (Auto THEN Try (RepeatFor 2 ((FunExt THENA Auto))))
THEN Try (((InstLemma `empty-cubical-subset-I_cube` [⌜I⌝;⌜I@0⌝]⋅ THEN Auto) THEN D -1 THEN RWO "3<" 0 THEN Auto))) }
Latex:
Latex:
\mforall{}[I:fset(\mBbbN{})]. \mforall{}[phi:Point(face\_lattice(I))]. \mforall{}[X,A,B:Top]. (A = B) supposing phi = 0
By
Latex:
(Auto
THEN EqTypeCD
THEN (Auto THEN Try (RepeatFor 2 ((FunExt THENA Auto))))
THEN Try (((InstLemma `empty-cubical-subset-I\_cube` [\mkleeneopen{}I\mkleeneclose{};\mkleeneopen{}I@0\mkleeneclose{}]\mcdot{} THEN Auto)
THEN D -1
THEN RWO "3<" 0
THEN Auto)))
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