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