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	modus ponens	1, 2	⊢
1	instantiation	3, 96, 4, 52	⊢
	: , : , : , : , : , :
2	generalization	5	⊢
3	theorem		⊢
	proveit.numbers.multiplication.distribute_through_summation
4	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
5	instantiation	59, 6, 7	,  ⊢
	: , :
6	instantiation	9, 10, 8	⊢
	: , :
7	instantiation	9, 10, 11	,  ⊢
	: , :
8	instantiation	42, 12, 13	⊢
	: , : , :
9	theorem		⊢
	proveit.numbers.exponentiation.exp_complex_closure
10	instantiation	94, 66, 14	⊢
	: , : , :
11	instantiation	15, 16	,  ⊢
	:
12	instantiation	59, 45, 17	⊢
	: , :
13	instantiation	36, 18, 19	⊢
	: , : , :
14	instantiation	94, 70, 20	⊢
	: , : , :
15	theorem		⊢
	proveit.numbers.negation.complex_closure
16	instantiation	21, 22, 23, 24	,  ⊢
	: , :
17	instantiation	42, 25, 26	⊢
	: , : , :
18	instantiation	51, 96, 46, 52, 27, 53, 45, 60, 41, 61	⊢
	: , : , : , : , : , :
19	instantiation	51, 52, 91, 46, 53, 47, 27, 56, 57, 60, 41, 61	⊢
	: , : , : , : , : , :
20	theorem		⊢
	proveit.numbers.number_sets.real_numbers.e_is_real_pos
21	theorem		⊢
	proveit.numbers.division.div_complex_closure
22	instantiation	42, 28, 29	,  ⊢
	: , : , :
23	instantiation	94, 66, 30	⊢
	: , : , :
24	instantiation	31, 32	⊢
	:
25	instantiation	59, 33, 61	⊢
	: , :
26	instantiation	51, 52, 91, 96, 53, 34, 60, 41, 61	⊢
	: , : , : , : , : , :
27	instantiation	58	⊢
	: , : , :
28	instantiation	59, 45, 35	,  ⊢
	: , :
29	instantiation	36, 37, 38	,  ⊢
	: , : , :
30	instantiation	94, 72, 39	⊢
	: , : , :
31	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
32	instantiation	40, 91, 88	⊢
	: , :
33	instantiation	59, 60, 41	⊢
	: , :
34	instantiation	62	⊢
	: , :
35	instantiation	42, 43, 44	,  ⊢
	: , : , :
36	axiom		⊢
	proveit.logic.equality.equals_transitivity
37	instantiation	51, 96, 46, 52, 48, 53, 45, 60, 61, 55	,  ⊢
	: , : , : , : , : , :
38	instantiation	51, 52, 91, 46, 53, 47, 48, 56, 57, 60, 61, 55	,  ⊢
	: , : , : , : , : , :
39	instantiation	94, 75, 84	⊢
	: , : , :
40	theorem		⊢
	proveit.numbers.exponentiation.exp_natpos_closure
41	instantiation	94, 66, 49	⊢
	: , : , :
42	theorem		⊢
	proveit.logic.equality.sub_right_side_into
43	instantiation	59, 50, 55	,  ⊢
	: , :
44	instantiation	51, 52, 91, 96, 53, 54, 60, 61, 55	,  ⊢
	: , : , : , : , : , :
45	instantiation	59, 56, 57	⊢
	: , :
46	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
47	instantiation	62	⊢
	: , :
48	instantiation	58	⊢
	: , : , :
49	theorem		⊢
	proveit.physics.quantum.QPE._phase_is_real
50	instantiation	59, 60, 61	⊢
	: , :
51	theorem		⊢
	proveit.numbers.multiplication.disassociation
52	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
53	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
54	instantiation	62	⊢
	: , :
55	instantiation	94, 66, 63	⊢
	: , : , :
56	instantiation	94, 66, 64	⊢
	: , : , :
57	instantiation	94, 66, 65	⊢
	: , : , :
58	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
59	theorem		⊢
	proveit.numbers.multiplication.mult_complex_closure_bin
60	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.i_is_complex
61	instantiation	94, 66, 67	⊢
	: , : , :
62	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
63	instantiation	94, 72, 68	⊢
	: , : , :
64	instantiation	94, 72, 69	⊢
	: , : , :
65	instantiation	94, 70, 71	⊢
	: , : , :
66	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
67	instantiation	94, 72, 73	⊢
	: , : , :
68	instantiation	94, 75, 74	⊢
	: , : , :
69	instantiation	94, 75, 87	⊢
	: , : , :
70	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real
71	theorem		⊢
	proveit.numbers.number_sets.real_numbers.pi_is_real_pos
72	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
73	instantiation	94, 75, 76	⊢
	: , : , :
74	instantiation	94, 78, 77	⊢
	: , : , :
75	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
76	instantiation	94, 78, 79	⊢
	: , : , :
77	assumption		⊢
78	instantiation	80, 81, 82	⊢
	: , :
79	assumption		⊢
80	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
81	theorem		⊢
	proveit.numbers.number_sets.integers.zero_is_int
82	instantiation	83, 84, 85	⊢
	: , :
83	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
84	instantiation	86, 87, 88	⊢
	: , :
85	instantiation	89, 90	⊢
	:
86	theorem		⊢
	proveit.numbers.exponentiation.exp_int_closure
87	instantiation	94, 95, 91	⊢
	: , : , :
88	instantiation	94, 92, 93	⊢
	: , : , :
89	theorem		⊢
	proveit.numbers.negation.int_closure
90	instantiation	94, 95, 96	⊢
	: , : , :
91	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
92	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nat_pos_within_nat
93	axiom		⊢
	proveit.physics.quantum.QPE._t_in_natural_pos
94	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
95	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
96	theorem		⊢
	proveit.numbers.numerals.decimals.nat1