Step
*
2
of Lemma
trivial-same-context-set
.....wf.....
1. X : ?CubicalContext
2. Y : ?CubicalContext
3. (Y = bind-provision(X;ctxt.OK(ctxt)) ∈ ?CubicalContext)
⇒ (X = Y ∈ ?CubicalContext)
⊢ istype(Y = bind-provision(X;ctxt.OK(ctxt)) ∈ ?CubicalContext)
BY
{ (All (Unfold `cubical-context`) THEN Auto) }
Latex:
Latex:
.....wf.....
1. X : ?CubicalContext
2. Y : ?CubicalContext
3. (Y = bind-provision(X;ctxt.OK(ctxt))) {}\mRightarrow{} (X = Y)
\mvdash{} istype(Y = bind-provision(X;ctxt.OK(ctxt)))
By
Latex:
(All (Unfold `cubical-context`) THEN Auto)
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