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Mirrors > Home > ILE Home > Th. List > ex-an | GIF version |
Description: Example for ax-ia1 106. Example by David A. Wheeler. (Contributed by Mario Carneiro, 9-May-2015.) |
Ref | Expression |
---|---|
ex-an | ⊢ (2 = 2 ∧ 3 = 3) |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | eqid 2177 | . 2 ⊢ 2 = 2 | |
2 | eqid 2177 | . 2 ⊢ 3 = 3 | |
3 | 1, 2 | pm3.2i 272 | 1 ⊢ (2 = 2 ∧ 3 = 3) |
Colors of variables: wff set class |
Syntax hints: ∧ wa 104 = wceq 1353 2c2 8956 3c3 8957 |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-ia1 106 ax-ia2 107 ax-ia3 108 ax-gen 1449 ax-ext 2159 |
This theorem depends on definitions: df-bi 117 df-cleq 2170 |
This theorem is referenced by: (None) |
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