Metamath Proof Explorer


Theorem 6t4e24

Description: 6 times 4 equals 24. (Contributed by Mario Carneiro, 19-Apr-2015)

Ref Expression
Assertion 6t4e24 ( 6 · 4 ) = 2 4

Proof

Step Hyp Ref Expression
1 6nn0 ⊢ 6 ∈ ℕ0
2 3nn0 ⊢ 3 ∈ ℕ0
3 df-4 ⊢ 4 = ( 3 + 1 )
4 6t3e18 ⊢ ( 6 · 3 ) = 1 8
5 1nn0 ⊢ 1 ∈ ℕ0
6 8nn0 ⊢ 8 ∈ ℕ0
7 eqid ⊢ 1 8 = 1 8
8 1p1e2 ⊢ ( 1 + 1 ) = 2
9 4nn0 ⊢ 4 ∈ ℕ0
10 8p6e14 ⊢ ( 8 + 6 ) = 1 4
11 5 6 1 7 8 9 10 decaddci ⊢ ( 1 8 + 6 ) = 2 4
12 1 2 3 4 11 4t3lem ⊢ ( 6 · 4 ) = 2 4