---

Step * 1 of Lemma member_filter


1. [T] : Type
2. P : T ⟶ 𝔹
⊢ ∀x:T. ((x ∈ []) ⇐⇒ (x ∈ []) ∧ (↑(P x)))
BY
{ Auto }

---

Latex:

---

Latex:

1.  [T]  :  Type
2.  P  :  T  {}\mrightarrow{}  \mBbbB{}
\mvdash{}  \mforall{}x:T.  ((x  \mmember{}  [])  \mLeftarrow{}{}\mRightarrow{}  (x  \mmember{}  [])  \mwedge{}  (\muparrow{}(P  x)))


By

---

Latex:
Auto

---

Home Index