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Theorem bj-biorfi 33814
Description: This should be labeled "biorfi" while the current biorfi 932 should be labeled "biorfri". The dual of biorf 930 is not biantr 802 but iba 528 (and ibar 529). So there should also be a "biorfr". (Note that these four statements can actually be strengthened to biconditionals.) (Contributed by BJ, 26-Oct-2019.) (Proof modification is discouraged.)
Hypothesis
Ref Expression
bj-biorfi.1 ¬ 𝜑
Assertion
Ref Expression
bj-biorfi (𝜓 ↔ (𝜑𝜓))

Proof of Theorem bj-biorfi
StepHypRef Expression
1 bj-biorfi.1 . 2 ¬ 𝜑
2 biorf 930 . 2 𝜑 → (𝜓 ↔ (𝜑𝜓)))
31, 2ax-mp 5 1 (𝜓 ↔ (𝜑𝜓))
Colors of variables: wff setvar class
Syntax hints:  ¬ wn 3  wb 207  wo 841
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8
This theorem depends on definitions:  df-bi 208  df-or 842
This theorem is referenced by:  bj-falor  33815
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