Show the Proof

import proveit
# Automation is not needed when only showing a stored proof:
proveit.defaults.automation = False # This will speed things up.
proveit.defaults.inline_pngs = False # Makes files smaller.
%show_proof

	step type	requirements	statement
0	instantiation	1, 2	⊢
	: , : , :
1	reference	3	⊢
2	instantiation	3, 4	⊢
	: , : , :
3	axiom		⊢
	proveit.logic.equality.substitution
4	instantiation	5, 6, 7, 8*	⊢
	: , :
5	theorem		⊢
	proveit.numbers.negation.distribute_neg_through_binary_sum
6	instantiation	29, 16, 9	⊢
	: , : , :
7	instantiation	29, 16, 10	⊢
	: , : , :
8	instantiation	11, 12	⊢
	:
9	instantiation	29, 14, 13	⊢
	: , : , :
10	instantiation	29, 14, 15	⊢
	: , : , :
11	theorem		⊢
	proveit.numbers.negation.double_negation
12	instantiation	29, 16, 17	⊢
	: , : , :
13	instantiation	29, 19, 18	⊢
	: , : , :
14	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
15	instantiation	29, 19, 20	⊢
	: , : , :
16	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
17	instantiation	21, 22, 31	⊢
	: , : , :
18	instantiation	23, 24	⊢
	:
19	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
20	instantiation	29, 25, 26	⊢
	: , : , :
21	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
22	instantiation	27, 28	⊢
	: , :
23	theorem		⊢
	proveit.numbers.negation.int_closure
24	instantiation	29, 30, 31	⊢
	: , : , :
25	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
26	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
27	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
28	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
29	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
30	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
31	assumption		⊢
*equality replacement requirements