Theorem disjsssrels 39613

Description: The class of disjoint relations is a subclass of the class of relations. (Contributed by Peter Mazsa, 11-Feb-2026.)

Assertion

Ref	Expression
disjsssrels	⊢ Disjs ⊆ Rels

Proof of Theorem disjsssrels

Step	Hyp	Ref	Expression
1		eldisjsim2 39612	. 2 ⊢ (𝑟 ∈ Disjs → 𝑟 ∈ Rels )
2	1	ssriv 3940	1 ⊢ Disjs ⊆ Rels

This proof depends on syntax axioms:   ⊆ wss 3904   Rels crels 38862   Disjs cdisjs 38895

This proof depends on axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1824  ax-4 1838  ax-5 1939  ax-6 1996  ax-7 2037  ax-8 2144  ax-9 2152  ax-ext 2734

This proof depends on definitions:  df-bi 210  df-an 401  df-tru 1572  df-ex 1809  df-sb 2096  df-clab 2741  df-cleq 2754  df-clel 2837  df-v 3456  df-in 3911  df-ss 3921  df-disjs 39466

This theorem is used by: (None)