---

Step * of Lemma discrete-function-inv_wf

No Annotations
∀[A:Type]. ∀[B:A ⟶ Type]. ∀[X:j⊢]. ∀[b:{X ⊢ _:discr(a:A ⟶ B[a])}].
  (discrete-function-inv(X; b) ∈ {X ⊢ _:Πdiscr(A) discrete-family(A;a.B[a])})
BY
{ ProveWfLemma }

1
1. A : Type
2. B : A ⟶ Type
3. X : CubicalSet{j}
4. b : {X ⊢ _:discr(a:A ⟶ B[a])}
⊢ λI,alpha. (b(fst(alpha)) q(alpha)) ∈ {X.discr(A) ⊢ _:discrete-family(A;a.B[a])}

---

Latex:

---

Latex:
No  Annotations
\mforall{}[A:Type].  \mforall{}[B:A  {}\mrightarrow{}  Type].  \mforall{}[X:j\mvdash{}].  \mforall{}[b:\{X  \mvdash{}  \_:discr(a:A  {}\mrightarrow{}  B[a])\}].
    (discrete-function-inv(X;  b)  \mmember{}  \{X  \mvdash{}  \_:\mPi{}discr(A)  discrete-family(A;a.B[a])\})


By

---

Latex:
ProveWfLemma

---

Home Index