intro a ha b hb hab
R : Type u_1
inst✝ : LinearOrderedField R
c : R
⊢ ∀ ⦃a : R⦄, a ∈ Set.Ioi c → ∀ ⦃b : R⦄, b ∈ Set.Ioi c → a < b → (b - c)⁻¹ ≤ (a - c)⁻¹
R : Type u_1
inst✝ : LinearOrderedField R
c a : R
ha : a ∈ Set.Ioi c
b : R
hb : b ∈ Set.Ioi c
hab : a < b
⊢ (b - c)⁻¹ ≤ (a - c)⁻¹