Step
*
of Lemma
FormOr_wf2
∀[C:Type]. ∀[a,b:PZF-Formula(C)]. (a ∨ b ∈ PZF-Formula(C))
BY
{ (Auto THEN RepeatFor 2 (D 2) THEN RepeatFor 2 (D 5) THEN RepeatFor 2 ((MemTypeCD THEN Auto))) }
1
1. C : Type
2. a : Form(C)
3. ↑wfForm(a)
4. ↑SafeForm(a)
5. ¬↑termForm(a)
6. b : Form(C)
7. ↑wfForm(b)
8. ↑SafeForm(b)
9. ¬↑termForm(b)
⊢ ↑wfForm(a ∨ b)
2
1. C : Type
2. a : Form(C)
3. ↑wfForm(a)
4. ↑SafeForm(a)
5. ¬↑termForm(a)
6. b : Form(C)
7. ↑wfForm(b)
8. ↑SafeForm(b)
9. ¬↑termForm(b)
10. ↑wfForm(a ∨ b)
⊢ ↑SafeForm(a ∨ b)
Latex:
Latex:
\mforall{}[C:Type]. \mforall{}[a,b:PZF-Formula(C)]. (a \mvee{} b \mmember{} PZF-Formula(C))
By
Latex:
(Auto THEN RepeatFor 2 (D 2) THEN RepeatFor 2 (D 5) THEN RepeatFor 2 ((MemTypeCD THEN Auto)))
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