Metamath Proof Explorer


Theorem relmntop

Description: Manifold is a relation. (Contributed by Thierry Arnoux, 28-Dec-2019)

Ref Expression
Assertion relmntop Rel ManTop

Proof

Step Hyp Ref Expression
1 df-mntop ManTop = { ⟨ 𝑛 , 𝑗 ⟩ ∣ ( 𝑛 ∈ ℕ0 ∧ ( 𝑗 ∈ 2ndω ∧ 𝑗 ∈ Haus ∧ 𝑗 ∈ Locally [ ( TopOpen ‘ ( 𝔼hil𝑛 ) ) ] ≃ ) ) }
2 1 relopabiv Rel ManTop