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Metamath Proof Explorer

Theorem ex-eprel

Description: Example for df-eprel . Example by David A. Wheeler. (Contributed by Mario Carneiro, 18-Jun-2015)

Ref Expression
Assertion ex-eprel ⊢ 5 E 1 5

Proof

Step Hyp Ref Expression
1 5nn ⊢ 5 ∈ ℕ
2 1 elexi ⊢ 5 ∈ V
3 2 prid2 ⊢ 5 ∈ 1 5
4 prex ⊢ 1 5 ∈ V
5 4 epeli ⊢ 5 E 1 5 ↔ 5 ∈ 1 5
6 3 5 mpbir ⊢ 5 E 1 5