Information

1. inv14/WD (true)

(start_xtl_system)
---------------------
radiation ∈ ℤ × ℤ ⇸ ℤ ∧ rover ∈ dom(radiation)

2. reselect_hyp (radiation ∈ field → ℕ)

(reselect_hyp(member($(radiation),total_function($(field),'NATURAL'))))
radiation ∈ field → ℕ
---------------------
radiation ∈ ℤ × ℤ ⇸ ℤ ∧ rover ∈ dom(radiation)

3. reselect_hyp ({rover} ⊆ field)

(reselect_hyp(subset(set_extension([$(rover)]),$(field))))
radiation ∈ field → ℕ
{rover} ⊆ field
---------------------
radiation ∈ ℤ × ℤ ⇸ ℤ ∧ rover ∈ dom(radiation)

4. and_r

radiation ∈ field → ℕ radiation ∈ field → ℕ
{rover} ⊆ field {rover} ⊆ field
--------------------- ---------------------
radiation ∈ ℤ × ℤ ⇸ ℤ rover ∈ dom(radiation)

5. fun_goal

radiation ∈ field → ℕ
{rover} ⊆ field
---------------------
rover ∈ dom(radiation)

6. DERIV_DOM_TOTALREL (rover ∈ dom(radiation))

(simplify_goal('DERIV_DOM_TOTALREL'))
radiation ∈ field → ℕ
{rover} ⊆ field
---------------------
rover ∈ field

7. SIMP_SUBSETEQ_SING ({rover} ⊆ field)

(simplify_hyp('SIMP_SUBSETEQ_SING',subset(set_extension([$(rover)]),$(field))))
radiation ∈ field → ℕ
rover ∈ field
---------------------
rover ∈ field

8. hyp

Proof of inv14/WD (true) succeeded.