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	axiom		⊢
	proveit.logic.equality.substitution
2	instantiation	3, 30, 4, 5, 6, 7, 8	,  ⊢
	: , : , : , : , : , : , :
3	theorem		⊢
	proveit.numbers.addition.leftward_commutation
4	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
5	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
6	instantiation	38, 14, 9	,  ⊢
	: , : , :
7	instantiation	10, 11	⊢
	:
8	instantiation	38, 14, 12	⊢
	: , : , :
9	instantiation	38, 19, 13	,  ⊢
	: , : , :
10	theorem		⊢
	proveit.numbers.negation.complex_closure
11	instantiation	38, 14, 15	⊢
	: , : , :
12	instantiation	16, 17, 40	⊢
	: , : , :
13	instantiation	38, 25, 18	,  ⊢
	: , : , :
14	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
15	instantiation	38, 19, 20	⊢
	: , : , :
16	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
17	instantiation	21, 22	⊢
	: , :
18	instantiation	38, 23, 24	,  ⊢
	: , : , :
19	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
20	instantiation	38, 25, 26	⊢
	: , : , :
21	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
22	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
23	instantiation	27, 28, 29	⊢
	: , :
24	assumption		⊢
25	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
26	instantiation	38, 36, 30	⊢
	: , : , :
27	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
28	instantiation	31, 32, 33	⊢
	: , :
29	theorem		⊢
	proveit.numbers.number_sets.integers.zero_is_int
30	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
31	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
32	instantiation	34, 35	⊢
	:
33	instantiation	38, 36, 37	⊢
	: , : , :
34	theorem		⊢
	proveit.numbers.negation.int_closure
35	instantiation	38, 39, 40	⊢
	: , : , :
36	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
37	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
38	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
39	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
40	assumption		⊢