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Mirrors > Home > MPE Home > Th. List > Mathboxes > bj-falor | Structured version Visualization version GIF version |
Description: Dual of truan 1554 (which has biconditional reversed). (Contributed by BJ, 26-Oct-2019.) (Proof modification is discouraged.) |
Ref | Expression |
---|---|
bj-falor | ⊢ (𝜑 ↔ (⊥ ∨ 𝜑)) |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | fal 1557 | . 2 ⊢ ¬ ⊥ | |
2 | 1 | bj-biorfi 34502 | 1 ⊢ (𝜑 ↔ (⊥ ∨ 𝜑)) |
Colors of variables: wff setvar class |
Syntax hints: ↔ wb 209 ∨ wo 847 ⊥wfal 1555 |
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 210 df-or 848 df-tru 1546 df-fal 1556 |
This theorem is referenced by: (None) |
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