On Mon, Mar 15, 2021 at 3:02 PM Mario Carneiro <[email protected]> wrote:

> which we can substitute in the current setting to:
> ((A ↔ ((A ∧ F) ∨ (B ∧ ¬ F))) → (F(A) ↔ F((A ∧ F) ∨ (B ∧ ¬ F)))),
> ((B ↔ ((A ∧ F) ∨ (B ∧ ¬ F))) → (F(A) ↔ F((A ∧ F) ∨ (B ∧ ¬ F)))),
> F(B)
> ⊢ F((A ∧ F) ∨ (B ∧ ¬ F))
>

Amendment:
((A ↔ ((A ∧ F) ∨ (B ∧ ¬ F))) → (F(A) ↔ F((A ∧ F) ∨ (B ∧ ¬ F)))),
((B ↔ ((A ∧ F) ∨ (B ∧ ¬ F))) → (F(B) ↔ F((A ∧ F) ∨ (B ∧ ¬ F)))),
F(B)
⊢ F((A ∧ F) ∨ (B ∧ ¬ F))


>

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