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Mirrors > Home > ILE Home > Th. List > 4p1e5 | GIF version |
Description: 4 + 1 = 5. (Contributed by Mario Carneiro, 18-Apr-2015.) |
Ref | Expression |
---|---|
4p1e5 | ⊢ (4 + 1) = 5 |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | df-5 8538 | . 2 ⊢ 5 = (4 + 1) | |
2 | 1 | eqcomi 2093 | 1 ⊢ (4 + 1) = 5 |
Colors of variables: wff set class |
Syntax hints: = wceq 1290 (class class class)co 5666 1c1 7405 + caddc 7407 4c4 8529 5c5 8530 |
This theorem was proved from axioms: ax-1 5 ax-2 6 ax-mp 7 ax-ia1 105 ax-ia2 106 ax-ia3 107 ax-5 1382 ax-gen 1384 ax-ext 2071 |
This theorem depends on definitions: df-bi 116 df-cleq 2082 df-5 8538 |
This theorem is referenced by: 8t7e56 9050 9t6e54 9056 ex-exp 11920 ex-fac 11921 |
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