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, 11*	⊢
	: , : , : , : , : , :
1	reference	15	⊢
2	reference	16	⊢
3	reference	17	⊢
4	reference	18	⊢
5	instantiation	25	⊢
	: , :
6	instantiation	25	⊢
	: , :
7	reference	24	⊢
8	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.zero_is_complex
9	reference	20	⊢
10	reference	21	⊢
11	instantiation	28, 12, 13	⊢
	: , : , :
12	instantiation	35, 14	⊢
	: , : , :
13	instantiation	15, 16, 17, 47, 18, 19, 24, 20, 21, 22*	⊢
	: , : , : , : , : , :
14	instantiation	23, 24	⊢
	:
15	theorem		⊢
	proveit.numbers.addition.association
16	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
17	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
18	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
19	instantiation	25	⊢
	: , :
20	instantiation	45, 31, 26	⊢
	: , : , :
21	instantiation	45, 31, 27	⊢
	: , : , :
22	instantiation	28, 29, 30	⊢
	: , : , :
23	theorem		⊢
	proveit.numbers.addition.elim_zero_right
24	instantiation	45, 31, 32	⊢
	: , : , :
25	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
26	instantiation	45, 37, 33	⊢
	: , : , :
27	instantiation	45, 37, 34	⊢
	: , : , :
28	axiom		⊢
	proveit.logic.equality.equals_transitivity
29	instantiation	35, 36	⊢
	: , : , :
30	theorem		⊢
	proveit.numbers.numerals.decimals.add_5_3
31	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
32	instantiation	45, 37, 38	⊢
	: , : , :
33	instantiation	45, 41, 39	⊢
	: , : , :
34	instantiation	45, 41, 40	⊢
	: , : , :
35	axiom		⊢
	proveit.logic.equality.substitution
36	theorem		⊢
	proveit.numbers.numerals.decimals.add_1_4
37	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
38	instantiation	45, 41, 42	⊢
	: , : , :
39	instantiation	45, 46, 43	⊢
	: , : , :
40	instantiation	45, 46, 44	⊢
	: , : , :
41	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
42	instantiation	45, 46, 47	⊢
	: , : , :
43	theorem		⊢
	proveit.numbers.numerals.decimals.nat4
44	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
45	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
46	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
47	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
*equality replacement requirements