Database
SUPPLEMENTARY MATERIAL (USERS' MATHBOXES)
Mathbox for Peter Mazsa
Lifts, shifts, successor, and predecessor
relsucmap
Next ⟩
dmsucmap
Metamath Proof Explorer
Ascii
Structured
Theorem
relsucmap
Description:
The successor map is a relation.
(Contributed by
Peter Mazsa
, 7-Jan-2026)
Ref
Expression
Assertion
relsucmap
⊢
Rel SucMap
Proof
Step
Hyp
Ref
Expression
1
df-sucmap
⊢
SucMap = { 〈
𝑚
,
𝑛
〉 ∣ suc
𝑚
=
𝑛
}
2
1
relopabi
⊢
Rel SucMap