Theorem disjsssrels 40059

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 40058	. 2 ⊢ (𝑟 ∈ Disjs → 𝑟 ∈ Rels )
2	1	ssriv 3917	1 ⊢ Disjs ⊆ Rels

This proof depends on syntax axioms:   ⊆ wss 3900   Rels crels 39308   Disjs cdisjs 39341

This proof depends on axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1828  ax-4 1842  ax-5 1945  ax-6 2002  ax-7 2043  ax-8 2149  ax-9 2157  ax-ext 2735

This proof depends on definitions:  df-bi 210  df-an 402  df-tru 1573  df-ex 1813  df-sb 2102  df-clab 2742  df-cleq 2755  df-clel 2839  df-v 3456  df-ss 3901  df-in 4094  df-disjs 39912

This theorem is used by: (None)