![]() |
Intuitionistic Logic Explorer |
< Previous
Next >
Nearby theorems |
|
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 9012 | . 2 ⊢ 5 = (4 + 1) | |
2 | 1 | eqcomi 2193 | 1 ⊢ (4 + 1) = 5 |
Colors of variables: wff set class |
Syntax hints: = wceq 1364 (class class class)co 5897 1c1 7843 + caddc 7845 4c4 9003 5c5 9004 |
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-5 1458 ax-gen 1460 ax-ext 2171 |
This theorem depends on definitions: df-bi 117 df-cleq 2182 df-5 9012 |
This theorem is referenced by: 8t7e56 9534 9t6e54 9540 ex-exp 14957 ex-fac 14958 |
Copyright terms: Public domain | W3C validator |