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	, , ,  ⊢
	: , : , : , : , : , :
1	theorem		⊢
	proveit.numbers.multiplication.association
2	reference	43	⊢
3	reference	71	⊢
4	instantiation	54	⊢
	: , :
5	instantiation	12, 9, 46	,  ⊢
	: , :
6	instantiation	12, 13, 10	,  ⊢
	: , :
7	instantiation	12, 11, 46	, ,  ⊢
	: , :
8	instantiation	12, 13, 14	⊢
	: , :
9	instantiation	69, 58, 25	⊢
	: , : , :
10	instantiation	31, 15, 16	,  ⊢
	: , : , :
11	instantiation	69, 58, 17	,  ⊢
	: , : , :
12	theorem		⊢
	proveit.numbers.exponentiation.exp_complex_closure
13	instantiation	69, 58, 18	⊢
	: , : , :
14	instantiation	31, 19, 20	⊢
	: , : , :
15	instantiation	51, 36, 21	,  ⊢
	: , :
16	instantiation	28, 22, 23	,  ⊢
	: , : , :
17	instantiation	24, 25, 50	,  ⊢
	: , :
18	instantiation	69, 64, 26	⊢
	: , : , :
19	instantiation	51, 36, 27	⊢
	: , :
20	instantiation	28, 29, 30	⊢
	: , : , :
21	instantiation	31, 32, 33	,  ⊢
	: , : , :
22	instantiation	41, 43, 34, 42, 35, 44, 36, 52, 53, 46	,  ⊢
	: , : , : , : , : , :
23	instantiation	41, 42, 71, 34, 44, 37, 35, 48, 49, 52, 53, 46	,  ⊢
	: , : , : , : , : , :
24	theorem		⊢
	proveit.numbers.addition.add_real_closure_bin
25	assumption		⊢
26	theorem		⊢
	proveit.numbers.number_sets.real_numbers.e_is_real_pos
27	instantiation	51, 52, 39	⊢
	: , :
28	axiom		⊢
	proveit.logic.equality.equals_transitivity
29	instantiation	41, 43, 71, 42, 38, 44, 36, 52, 39	⊢
	: , : , : , : , : , :
30	instantiation	41, 42, 71, 44, 37, 38, 48, 49, 52, 39	⊢
	: , : , : , : , : , :
31	theorem		⊢
	proveit.logic.equality.sub_right_side_into
32	instantiation	51, 40, 46	,  ⊢
	: , :
33	instantiation	41, 42, 71, 43, 44, 45, 52, 53, 46	,  ⊢
	: , : , : , : , : , :
34	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
35	instantiation	47	⊢
	: , : , :
36	instantiation	51, 48, 49	⊢
	: , :
37	instantiation	54	⊢
	: , :
38	instantiation	54	⊢
	: , :
39	instantiation	69, 58, 50	⊢
	: , : , :
40	instantiation	51, 52, 53	⊢
	: , :
41	theorem		⊢
	proveit.numbers.multiplication.disassociation
42	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
43	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
44	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
45	instantiation	54	⊢
	: , :
46	instantiation	69, 58, 55	⊢
	: , : , :
47	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
48	instantiation	69, 58, 56	⊢
	: , : , :
49	instantiation	69, 58, 57	⊢
	: , : , :
50	assumption		⊢
51	theorem		⊢
	proveit.numbers.multiplication.mult_complex_closure_bin
52	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.i_is_complex
53	instantiation	69, 58, 59	⊢
	: , : , :
54	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
55	instantiation	69, 61, 60	⊢
	: , : , :
56	instantiation	69, 61, 62	⊢
	: , : , :
57	instantiation	69, 64, 63	⊢
	: , : , :
58	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
59	instantiation	69, 64, 65	⊢
	: , : , :
60	instantiation	69, 67, 66	⊢
	: , : , :
61	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
62	instantiation	69, 67, 68	⊢
	: , : , :
63	theorem		⊢
	proveit.numbers.number_sets.real_numbers.pi_is_real_pos
64	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real
65	assumption		⊢
66	assumption		⊢
67	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
68	instantiation	69, 70, 71	⊢
	: , : , :
69	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
70	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
71	theorem		⊢
	proveit.numbers.numerals.decimals.nat2