Description: 6 times 5 equals 30. (Contributed by Mario Carneiro, 19-Apr-2015) (Revised by AV, 6-Sep-2021)
Ref | Expression | ||
---|---|---|---|
Assertion | 6t5e30 | ⊢ ( 6 · 5 ) = ; 3 0 |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | 6nn0 | ⊢ 6 ∈ ℕ0 | |
2 | 4nn0 | ⊢ 4 ∈ ℕ0 | |
3 | df-5 | ⊢ 5 = ( 4 + 1 ) | |
4 | 6t4e24 | ⊢ ( 6 · 4 ) = ; 2 4 | |
5 | 2nn0 | ⊢ 2 ∈ ℕ0 | |
6 | eqid | ⊢ ; 2 4 = ; 2 4 | |
7 | 2p1e3 | ⊢ ( 2 + 1 ) = 3 | |
8 | 6cn | ⊢ 6 ∈ ℂ | |
9 | 4cn | ⊢ 4 ∈ ℂ | |
10 | 6p4e10 | ⊢ ( 6 + 4 ) = ; 1 0 | |
11 | 8 9 10 | addcomli | ⊢ ( 4 + 6 ) = ; 1 0 |
12 | 5 2 1 6 7 11 | decaddci2 | ⊢ ( ; 2 4 + 6 ) = ; 3 0 |
13 | 1 2 3 4 12 | 4t3lem | ⊢ ( 6 · 5 ) = ; 3 0 |