Step
*
1
1
1
of Lemma
f-subset-singleton
1. A : Type
2. eq : EqDecider(A)
3. a : A
4. x : fset(A)
5. ∀a@0:A. a@0 = a ∈ A supposing a@0 ∈ x
6. ↑fset-null(x)
⊢ x = {} ∈ fset(A)
BY
{ (RWO "assert-fset-null" (-1) THEN Auto) }
Latex:
Latex:
1. A : Type
2. eq : EqDecider(A)
3. a : A
4. x : fset(A)
5. \mforall{}a@0:A. a@0 = a supposing a@0 \mmember{} x
6. \muparrow{}fset-null(x)
\mvdash{} x = \{\}
By
Latex:
(RWO "assert-fset-null" (-1) THEN Auto)
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