Metamath Proof Explorer


Theorem bnj1113

Description: First-order logic and set theory. (Contributed by Jonathan Ben-Naim, 3-Jun-2011) (New usage is discouraged.)

Ref Expression
Hypothesis bnj1113.1 ⊢ A = B → C = D
Assertion bnj1113 ⊢ A = B → ⋃ x ∈ C E = ⋃ x ∈ D E

Proof

Step Hyp Ref Expression
1 bnj1113.1 ⊢ A = B → C = D
2 1 iuneq1d ⊢ A = B → ⋃ x ∈ C E = ⋃ x ∈ D E