α β : Type u
c c' : Cardinal
⊢ c ≤ c' ↔ ?m.14386

α β : Type u
c c' : Cardinal
⊢ ?m.14386 ↔ Nonempty (Quotient.out c ↪ Quotient.out c')

α β : Type u
c c' : Cardinal
⊢ Prop
α β : Type u
c c' : Cardinal
⊢ c ≤ c' ↔ Nonempty (Quotient.out c ↪ Quotient.out c')
trans
no goals
α β : Type u
c c' : Cardinal
⊢ c ≤ c' ↔ ?m.14386
rw [← Quotient.out_eq c, ← Quotient.out_eq c']
no goals
α β : Type u
c c' : Cardinal
⊢ Quotient.mk isEquivalent (Quotient.out c) ≤ Quotient.mk isEquivalent (Quotient.out c') ↔
    Nonempty (Quotient.out c ↪ Quotient.out c')
rw [mk'_def, mk'_def, le_def]