Theorem suceq

Description: Equality of successors. (Contributed by NM, 30-Aug-1993) (Proof shortened by Andrew Salmon, 25-Jul-2011)

	Ref	Expression
Assertion	suceq	⊢ ( 𝐴 = 𝐵 → suc 𝐴 = suc 𝐵 )

Proof

Step	Hyp	Ref	Expression
1		id	⊢ ( 𝐴 = 𝐵 → 𝐴 = 𝐵 )
2	1	suceqd	⊢ ( 𝐴 = 𝐵 → suc 𝐴 = suc 𝐵 )