15 lines
357 B
Text
15 lines
357 B
Text
-- I actually thought that ∀p, ∃q, (q ≠ p) ∧ q!
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-- However, propositional extensionality tells us that (p ↔ q) → p = q
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theorem finite_true_props
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: ¬∀p, ∃q, (q ≠ p) ∧ q := by
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intro h
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have := h True
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simp at this
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theorem finite_false_props
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: ¬∀p, ∃q, (q ≠ p) ∧ ¬q := by
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intro h
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have := h False
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simp at this
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