Description: If a number is zero, its square is zero. (Contributed by FL, 10-Dec-2006)
Ref | Expression | ||
---|---|---|---|
Assertion | sq0i | ⊢ ( 𝐴 = 0 → ( 𝐴 ↑ 2 ) = 0 ) |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | oveq1 | ⊢ ( 𝐴 = 0 → ( 𝐴 ↑ 2 ) = ( 0 ↑ 2 ) ) | |
2 | sq0 | ⊢ ( 0 ↑ 2 ) = 0 | |
3 | 1 2 | eqtrdi | ⊢ ( 𝐴 = 0 → ( 𝐴 ↑ 2 ) = 0 ) |