Theorem disjsssrels 39788

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 39787	. 2 ⊢ (𝑟 ∈ Disjs → 𝑟 ∈ Rels )
2	1	ssriv 3934	1 ⊢ Disjs ⊆ Rels

This proof depends on syntax axioms:   ⊆ wss 3898   Rels crels 39037   Disjs cdisjs 39070

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 1943  ax-6 2000  ax-7 2041  ax-8 2147  ax-9 2155  ax-ext 2732

This proof depends on definitions:  df-bi 210  df-an 402  df-tru 1573  df-ex 1813  df-sb 2100  df-clab 2739  df-cleq 2752  df-clel 2835  df-v 3452  df-in 3905  df-ss 3915  df-disjs 39641

This theorem is used by: (None)