Theorem suceq

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

	Ref	Expression
Assertion	suceq	$$⊢A=B\to \mathrm{suc}A=\mathrm{suc}B$$

Proof

Step	Hyp	Ref	Expression
1		id	$$⊢A=B\to A=B$$
2	1	suceqd	$$⊢A=B\to \mathrm{suc}A=\mathrm{suc}B$$