Step
*
1
2
2
of Lemma
member-insert
1. [T] : Type
2. eq : EqDecider(T)
3. a : T
4. L : T List
5. b : T
6. ¬(a ∈ L)
⊢ (b ∈ [a / L])
⇐⇒ (b = a ∈ T) ∨ (b ∈ L)
BY
{ (RWW "cons_member" 0 THEN Auto THEN Try (D (-1) THEN Auto⋅)) }
Latex:
Latex:
1. [T] : Type
2. eq : EqDecider(T)
3. a : T
4. L : T List
5. b : T
6. \mneg{}(a \mmember{} L)
\mvdash{} (b \mmember{} [a / L]) \mLeftarrow{}{}\mRightarrow{} (b = a) \mvee{} (b \mmember{} L)
By
Latex:
(RWW "cons\_member" 0 THEN Auto THEN Try (D (-1) THEN Auto\mcdot{}))
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