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, 3, 4, 5, 6, 7, 8, 9, 10	,  ⊢
	: , : , : , : , : , :
1	theorem		⊢
	proveit.numbers.addition.disassociation
2	reference	45	⊢
3	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
4	instantiation	11	⊢
	: , :
5	instantiation	11	⊢
	: , :
6	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
7	instantiation	43, 27, 12	⊢
	: , : , :
8	instantiation	14, 13	,  ⊢
	:
9	reference	13	,  ⊢
10	instantiation	14, 15	,  ⊢
	:
11	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
12	instantiation	43, 30, 16	⊢
	: , : , :
13	instantiation	18, 19, 17	,  ⊢
	: , :
14	theorem		⊢
	proveit.numbers.negation.complex_closure
15	instantiation	18, 19, 20	,  ⊢
	: , :
16	instantiation	43, 37, 36	⊢
	: , : , :
17	instantiation	43, 27, 21	⊢
	: , : , :
18	theorem		⊢
	proveit.numbers.exponentiation.exp_complex_closure
19	assumption		⊢
20	instantiation	22, 23, 24	⊢
	: , :
21	instantiation	43, 30, 25	⊢
	: , : , :
22	theorem		⊢
	proveit.numbers.addition.add_complex_closure_bin
23	instantiation	43, 27, 26	⊢
	: , : , :
24	instantiation	43, 27, 28	⊢
	: , : , :
25	instantiation	43, 37, 29	⊢
	: , : , :
26	instantiation	43, 30, 31	⊢
	: , : , :
27	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
28	instantiation	32, 33, 41	⊢
	: , : , :
29	instantiation	34, 35, 36	⊢
	: , :
30	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
31	instantiation	43, 37, 38	⊢
	: , : , :
32	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
33	instantiation	39, 40	⊢
	: , :
34	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
35	instantiation	43, 44, 41	⊢
	: , : , :
36	instantiation	43, 44, 42	⊢
	: , : , :
37	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
38	instantiation	43, 44, 45	⊢
	: , : , :
39	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
40	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_within_real
41	assumption		⊢
42	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
43	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
44	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
45	theorem		⊢
	proveit.numbers.numerals.decimals.nat2