Description: "Reverse" second Peano postulate analogue for complex numbers: A complex number minus 1 is a complex number. (Contributed by Alexander van der Vekens, 18-Mar-2018)
Ref | Expression | ||
---|---|---|---|
Assertion | peano2cnm | ⊢ ( 𝑁 ∈ ℂ → ( 𝑁 − 1 ) ∈ ℂ ) |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | ax-1cn | ⊢ 1 ∈ ℂ | |
2 | subcl | ⊢ ( ( 𝑁 ∈ ℂ ∧ 1 ∈ ℂ ) → ( 𝑁 − 1 ) ∈ ℂ ) | |
3 | 1 2 | mpan2 | ⊢ ( 𝑁 ∈ ℂ → ( 𝑁 − 1 ) ∈ ℂ ) |