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Mirrors > Home > MPE Home > Th. List > ex-or | Structured version Visualization version GIF version |
Description: Example for df-or 845. Example by David A. Wheeler. (Contributed by Mario Carneiro, 9-May-2015.) |
Ref | Expression |
---|---|
ex-or | ⊢ (2 = 3 ∨ 4 = 4) |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | eqid 2724 | . 2 ⊢ 4 = 4 | |
2 | 1 | olci 863 | 1 ⊢ (2 = 3 ∨ 4 = 4) |
Colors of variables: wff setvar class |
Syntax hints: ∨ wo 844 = wceq 1533 2c2 12266 3c3 12267 4c4 12268 |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-3 8 ax-gen 1789 ax-4 1803 ax-5 1905 ax-6 1963 ax-7 2003 ax-9 2108 ax-ext 2695 |
This theorem depends on definitions: df-bi 206 df-an 396 df-or 845 df-ex 1774 df-cleq 2716 |
This theorem is referenced by: (None) |
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