Theorem disjsssrels 39318

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 39317	. 2 ⊢ (𝑟 ∈ Disjs → 𝑟 ∈ Rels )
2	1	ssriv 3921	1 ⊢ Disjs ⊆ Rels

Syntax hints:   ⊆ wss 3885   Rels crels 38567   Disjs cdisjs 38600

This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1803  ax-4 1817  ax-5 1918  ax-6 1975  ax-7 2016  ax-8 2123  ax-9 2131  ax-ext 2713

This theorem depends on definitions:  df-bi 209  df-an 398  df-tru 1551  df-ex 1788  df-sb 2075  df-clab 2720  df-cleq 2733  df-clel 2816  df-v 3435  df-in 3892  df-ss 3902  df-disjs 39171

This theorem is referenced by: (None)