ι : Type ?u.247963
α : Type u_1
inst✝³ : OrderedCancelAddCommMonoid α
inst✝² : ExistsAddOfLE α
inst✝¹ : LocallyFiniteOrder α
inst✝ : DecidableEq α
a b c : α
⊢ image (fun x => x + c) (Ico a b) = image (↑(addRightEmbedding c)) (Ico a b)
ι : Type ?u.247963
α : Type u_1
inst✝³ : OrderedCancelAddCommMonoid α
inst✝² : ExistsAddOfLE α
inst✝¹ : LocallyFiniteOrder α
inst✝ : DecidableEq α
a b c : α
⊢ image (fun x => x + c) (Ico a b) = Ico (a + c) (b + c)
rw [← map_add_right_Ico, map_eq_image]
no goals
ι : Type ?u.247963
α : Type u_1
inst✝³ : OrderedCancelAddCommMonoid α
inst✝² : ExistsAddOfLE α
inst✝¹ : LocallyFiniteOrder α
inst✝ : DecidableEq α
a b c : α
⊢ image (fun x => x + c) (Ico a b) = image (↑(addRightEmbedding c)) (Ico a b)
rfl