Theorem transitive_elim

Theorem. transitive_elim
transitive x → u ∈ x → u ⊆ x
Proof
01. 1 ⊢ transitive x, hypo.
02. 1 ⊢ ∀u. u ∈ x → u ⊆ x, lsubj_elim transitive_equi 1.
03. 1 ⊢ u ∈ x → u ⊆ x, uq_elim 2.
transitive_elim. ⊢ transitive x → u ∈ x → u ⊆ x, subj_intro 3.