Theorem disjsssrels 39106

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 39105	. 2 ⊢ (𝑟 ∈ Disjs → 𝑟 ∈ Rels )
2	1	ssriv 3936	1 ⊢ Disjs ⊆ Rels

Syntax hints:   ⊆ wss 3900   Rels crels 38355   Disjs cdisjs 38388

This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1797  ax-4 1811  ax-5 1912  ax-6 1969  ax-7 2010  ax-8 2116  ax-9 2124  ax-ext 2707

This theorem depends on definitions:  df-bi 207  df-an 396  df-tru 1545  df-ex 1782  df-sb 2069  df-clab 2714  df-cleq 2727  df-clel 2810  df-v 3441  df-in 3907  df-ss 3917  df-disjs 38959

This theorem is referenced by: (None)