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	,  ⊢
	: , :
1	theorem		⊢
	proveit.numbers.addition.add_complex_closure_bin
2	instantiation	6, 4, 5	⊢
	: , : , :
3	instantiation	6, 7, 8	⊢
	: , : , :
4	instantiation	28, 19, 9	⊢
	: , :
5	instantiation	13, 10, 11	⊢
	: , : , :
6	theorem		⊢
	proveit.logic.equality.sub_right_side_into
7	instantiation	28, 19, 12	⊢
	: , :
8	instantiation	13, 14, 15	⊢
	: , : , :
9	instantiation	28, 25, 17	⊢
	: , :
10	instantiation	20, 18, 47, 21, 16, 22, 19, 25, 17	⊢
	: , : , : , : , : , :
11	instantiation	20, 21, 47, 22, 23, 16, 29, 30, 25, 17	⊢
	: , : , : , : , : , :
12	instantiation	28, 25, 26	⊢
	: , :
13	axiom		⊢
	proveit.logic.equality.equals_transitivity
14	instantiation	20, 18, 47, 21, 24, 22, 19, 25, 26	⊢
	: , : , : , : , : , :
15	instantiation	20, 21, 47, 22, 23, 24, 29, 30, 25, 26	⊢
	: , : , : , : , : , :
16	instantiation	31	⊢
	: , :
17	instantiation	45, 35, 27	⊢
	: , : , :
18	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
19	instantiation	28, 29, 30	⊢
	: , :
20	theorem		⊢
	proveit.numbers.multiplication.disassociation
21	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
22	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
23	instantiation	31	⊢
	: , :
24	instantiation	31	⊢
	: , :
25	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.i_is_complex
26	instantiation	45, 35, 32	⊢
	: , : , :
27	instantiation	45, 39, 33	⊢
	: , : , :
28	theorem		⊢
	proveit.numbers.multiplication.mult_complex_closure_bin
29	instantiation	45, 35, 34	⊢
	: , : , :
30	instantiation	45, 35, 36	⊢
	: , : , :
31	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
32	instantiation	45, 41, 37	⊢
	: , : , :
33	instantiation	45, 43, 38	⊢
	: , : , :
34	instantiation	45, 39, 40	⊢
	: , : , :
35	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
36	instantiation	45, 41, 42	⊢
	: , : , :
37	assumption		⊢
38	assumption		⊢
39	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
40	instantiation	45, 43, 44	⊢
	: , : , :
41	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real
42	theorem		⊢
	proveit.numbers.number_sets.real_numbers.pi_is_real_pos
43	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
44	instantiation	45, 46, 47	⊢
	: , : , :
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.nat2