rw [lt_iff_le_and_ne]
case mpr.intro.intro.intro.mk.intro
V : Type u_1
G' : Digraph V
s : Set (V × V)
v w : V
h : (v, w) ∈ s
hs : s ⊆ edgeSet G'
⊢ deleteEdges G' s < G'
case mpr.intro.intro.intro.mk.intro
V : Type u_1
G' : Digraph V
s : Set (V × V)
v w : V
h : (v, w) ∈ s
hs : s ⊆ edgeSet G'
⊢ deleteEdges G' s ≤ G' ∧ deleteEdges G' s ≠ G'