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Mirrors > Home > ILE Home > Th. List > ex-or | GIF version |
Description: Example for ax-io 699. 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 2164 | . 2 ⊢ 4 = 4 | |
2 | 1 | olci 722 | 1 ⊢ (2 = 3 ∨ 4 = 4) |
Colors of variables: wff set class |
Syntax hints: ∨ wo 698 = wceq 1342 2c2 8902 3c3 8903 4c4 8904 |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-ia1 105 ax-ia2 106 ax-ia3 107 ax-io 699 ax-gen 1436 ax-ext 2146 |
This theorem depends on definitions: df-bi 116 df-cleq 2157 |
This theorem is referenced by: (None) |
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