BfEqvSplit

⊢ (f ≡ g) ≡ (f ⊃ g) ∧ (g ⊃ f) BfEqvSplit

Proof:

1
(f ≡ g) ≡ (f ⊃ g) ∧ (g ⊃ f)
2
(f ≡ g) ≡ ((f ⊃ g) ∧ (g ⊃ f))
3
((f ⊃ g) ∧ (g ⊃ f)) ≡ (f ⊃ g) ∧ (g ⊃ f)
4
(f ≡ g) ≡ (f ⊃ g) ∧ (g ⊃ f)
2, 3,EqvChain

qed

2024-08-03
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