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, 4	⊢
	: , : , : , : , : , :
2	generalization	5	⊢
3	axiom		⊢
	proveit.core_expr_types.lambda_maps.lambda_substitution
4	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
5	instantiation	6, 7	⊢
	: , : , :
6	axiom		⊢
	proveit.core_expr_types.conditionals.conditional_substitution
7	deduction	8	⊢
8	instantiation	9, 10, 11	,  ⊢
	: , :
9	theorem		⊢
	proveit.numbers.multiplication.commutation
10	instantiation	13, 14, 12	⊢
	: , :
11	instantiation	13, 14, 15	,  ⊢
	: , :
12	instantiation	46, 16, 17	⊢
	: , : , :
13	theorem		⊢
	proveit.numbers.exponentiation.exp_complex_closure
14	instantiation	98, 70, 18	⊢
	: , : , :
15	instantiation	19, 20	,  ⊢
	:
16	instantiation	63, 49, 21	⊢
	: , :
17	instantiation	40, 22, 23	⊢
	: , : , :
18	instantiation	98, 74, 24	⊢
	: , : , :
19	theorem		⊢
	proveit.numbers.negation.complex_closure
20	instantiation	25, 26, 27, 28	,  ⊢
	: , :
21	instantiation	46, 29, 30	⊢
	: , : , :
22	instantiation	55, 100, 50, 56, 31, 57, 49, 64, 45, 65	⊢
	: , : , : , : , : , :
23	instantiation	55, 56, 95, 50, 57, 51, 31, 60, 61, 64, 45, 65	⊢
	: , : , : , : , : , :
24	theorem		⊢
	proveit.numbers.number_sets.real_numbers.e_is_real_pos
25	theorem		⊢
	proveit.numbers.division.div_complex_closure
26	instantiation	46, 32, 33	,  ⊢
	: , : , :
27	instantiation	98, 70, 34	⊢
	: , : , :
28	instantiation	35, 36	⊢
	:
29	instantiation	63, 37, 65	⊢
	: , :
30	instantiation	55, 56, 95, 100, 57, 38, 64, 45, 65	⊢
	: , : , : , : , : , :
31	instantiation	62	⊢
	: , : , :
32	instantiation	63, 49, 39	,  ⊢
	: , :
33	instantiation	40, 41, 42	,  ⊢
	: , : , :
34	instantiation	98, 76, 43	⊢
	: , : , :
35	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
36	instantiation	44, 95, 92	⊢
	: , :
37	instantiation	63, 64, 45	⊢
	: , :
38	instantiation	66	⊢
	: , :
39	instantiation	46, 47, 48	,  ⊢
	: , : , :
40	axiom		⊢
	proveit.logic.equality.equals_transitivity
41	instantiation	55, 100, 50, 56, 52, 57, 49, 64, 65, 59	,  ⊢
	: , : , : , : , : , :
42	instantiation	55, 56, 95, 50, 57, 51, 52, 60, 61, 64, 65, 59	,  ⊢
	: , : , : , : , : , :
43	instantiation	98, 79, 88	⊢
	: , : , :
44	theorem		⊢
	proveit.numbers.exponentiation.exp_natpos_closure
45	instantiation	98, 70, 53	⊢
	: , : , :
46	theorem		⊢
	proveit.logic.equality.sub_right_side_into
47	instantiation	63, 54, 59	,  ⊢
	: , :
48	instantiation	55, 56, 95, 100, 57, 58, 64, 65, 59	,  ⊢
	: , : , : , : , : , :
49	instantiation	63, 60, 61	⊢
	: , :
50	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
51	instantiation	66	⊢
	: , :
52	instantiation	62	⊢
	: , : , :
53	theorem		⊢
	proveit.physics.quantum.QPE._phase_is_real
54	instantiation	63, 64, 65	⊢
	: , :
55	theorem		⊢
	proveit.numbers.multiplication.disassociation
56	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
57	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
58	instantiation	66	⊢
	: , :
59	instantiation	98, 70, 67	⊢
	: , : , :
60	instantiation	98, 70, 68	⊢
	: , : , :
61	instantiation	98, 70, 69	⊢
	: , : , :
62	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
63	theorem		⊢
	proveit.numbers.multiplication.mult_complex_closure_bin
64	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.i_is_complex
65	instantiation	98, 70, 71	⊢
	: , : , :
66	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
67	instantiation	98, 76, 72	⊢
	: , : , :
68	instantiation	98, 76, 73	⊢
	: , : , :
69	instantiation	98, 74, 75	⊢
	: , : , :
70	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
71	instantiation	98, 76, 77	⊢
	: , : , :
72	instantiation	98, 79, 78	⊢
	: , : , :
73	instantiation	98, 79, 91	⊢
	: , : , :
74	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real
75	theorem		⊢
	proveit.numbers.number_sets.real_numbers.pi_is_real_pos
76	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
77	instantiation	98, 79, 80	⊢
	: , : , :
78	instantiation	98, 82, 81	⊢
	: , : , :
79	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
80	instantiation	98, 82, 83	⊢
	: , : , :
81	assumption		⊢
82	instantiation	84, 85, 86	⊢
	: , :
83	assumption		⊢
84	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
85	theorem		⊢
	proveit.numbers.number_sets.integers.zero_is_int
86	instantiation	87, 88, 89	⊢
	: , :
87	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
88	instantiation	90, 91, 92	⊢
	: , :
89	instantiation	93, 94	⊢
	:
90	theorem		⊢
	proveit.numbers.exponentiation.exp_int_closure
91	instantiation	98, 99, 95	⊢
	: , : , :
92	instantiation	98, 96, 97	⊢
	: , : , :
93	theorem		⊢
	proveit.numbers.negation.int_closure
94	instantiation	98, 99, 100	⊢
	: , : , :
95	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
96	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nat_pos_within_nat
97	axiom		⊢
	proveit.physics.quantum.QPE._t_in_natural_pos
98	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
99	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
100	theorem		⊢
	proveit.numbers.numerals.decimals.nat1