Step
*
of Lemma
list-equal-set2
∀[T:Type]. ∀[P:T ⟶ ℙ].
∀[L:{x:T| P[x]} List]. ∀[L':T List]. L = L' ∈ ({x:T| P[x]} List) supposing L = L' ∈ (T List)
supposing ∀x:T. SqStable(P[x])
BY
{ (Auto THEN (BLemma `list-equal-set` THEN Auto) THEN BLemma `l_all-set` THEN Auto) }
Latex:
Latex:
\mforall{}[T:Type]. \mforall{}[P:T {}\mrightarrow{} \mBbbP{}].
\mforall{}[L:\{x:T| P[x]\} List]. \mforall{}[L':T List]. L = L' supposing L = L' supposing \mforall{}x:T. SqStable(P[x])
By
Latex:
(Auto THEN (BLemma `list-equal-set` THEN Auto) THEN BLemma `l\_all-set` THEN Auto)
Home
Index