---

Step * of Lemma presheaf-app_wf-pscm

No Annotations
∀[C:SmallCategory]. ∀[X:ps_context{j:l}(C)]. ∀[A:{X ⊢ _}]. ∀[B:{X.A ⊢ _}]. ∀[w:{X ⊢ _:ΠA B}]. ∀[H:ps_context{j:l}(C)].
∀[tau:psc_map{j:l}(C; H; X)]. ∀[u:{H ⊢ _:(A)tau}].
  (app((w)tau; u) ∈ {H ⊢ _:((B)tau+)[u]})
BY
{ Auto }

---

Latex:

---

Latex:
No  Annotations
\mforall{}[C:SmallCategory].  \mforall{}[X:ps\_context\{j:l\}(C)].  \mforall{}[A:\{X  \mvdash{}  \_\}].  \mforall{}[B:\{X.A  \mvdash{}  \_\}].  \mforall{}[w:\{X  \mvdash{}  \_:\mPi{}A  B\}].
\mforall{}[H:ps\_context\{j:l\}(C)].  \mforall{}[tau:psc\_map\{j:l\}(C;  H;  X)].  \mforall{}[u:\{H  \mvdash{}  \_:(A)tau\}].
    (app((w)tau;  u)  \mmember{}  \{H  \mvdash{}  \_:((B)tau+)[u]\})


By

---

Latex:
Auto

---

Home Index