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Metamath Proof Explorer

Theorem disjALTVinidres

Description: The intersection with restricted identity relation is disjoint. (Contributed by Peter Mazsa, 31-Dec-2021)

Ref Expression
Assertion disjALTVinidres ⊢ Disj R ∩ I ↾ A

Proof

Step Hyp Ref Expression
1 disjALTVid ⊢ Disj I
2 disjiminres ⊢ Disj I → Disj R ∩ I ↾ A
3 1 2 ax-mp ⊢ Disj R ∩ I ↾ A