Metamath Proof Explorer


Theorem 6t4e24

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

Ref Expression
Assertion 6t4e24 ⊢ 6 ⋅ 4 = 24

Proof

Step Hyp Ref Expression
1 6nn0 ⊢ 6 ∈ ℕ 0
2 3nn0 ⊢ 3 ∈ ℕ 0
3 df-4 ⊢ 4 = 3 + 1
4 6t3e18 ⊢ 6 ⋅ 3 = 18
5 1nn0 ⊢ 1 ∈ ℕ 0
6 8nn0 ⊢ 8 ∈ ℕ 0
7 eqid ⊢ 18 = 18
8 1p1e2 ⊢ 1 + 1 = 2
9 4nn0 ⊢ 4 ∈ ℕ 0
10 8p6e14 ⊢ 8 + 6 = 14
11 5 6 1 7 8 9 10 decaddci ⊢ 18 + 6 = 24
12 1 2 3 4 11 4t3lem ⊢ 6 ⋅ 4 = 24