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	⊢
	: , : , : , :
1	reference	29	⊢
2	instantiation	16, 5, 6	⊢
	: , : , :
3	instantiation	19	⊢
	:
4	instantiation	41, 20	⊢
	: , :
5	instantiation	43, 7	⊢
	: , : , :
6	instantiation	16, 8, 9	⊢
	: , : , :
7	instantiation	16, 10, 11	⊢
	: , : , :
8	instantiation	21, 24, 105, 102, 26, 12, 27, 54, 60	⊢
	: , : , : , : , : , :
9	instantiation	13, 60, 27, 14	⊢
	: , : , :
10	instantiation	43, 15	⊢
	: , : , :
11	instantiation	16, 17, 18	⊢
	: , : , :
12	instantiation	33	⊢
	: , :
13	theorem		⊢
	proveit.numbers.addition.subtraction.add_cancel_triple_32
14	instantiation	19	⊢
	:
15	instantiation	43, 20	⊢
	: , : , :
16	axiom		⊢
	proveit.logic.equality.equals_transitivity
17	instantiation	21, 24, 105, 102, 26, 22, 27, 51, 60	⊢
	: , : , : , : , : , :
18	instantiation	23, 102, 105, 24, 25, 26, 27, 51, 60, 28*	⊢
	: , : , : , : , : , :
19	axiom		⊢
	proveit.logic.equality.equals_reflexivity
20	instantiation	29, 30, 31, 32	⊢
	: , : , : , :
21	theorem		⊢
	proveit.numbers.addition.disassociation
22	instantiation	33	⊢
	: , :
23	theorem		⊢
	proveit.numbers.addition.association
24	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
25	instantiation	33	⊢
	: , :
26	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
27	instantiation	34, 35, 36	⊢
	: , :
28	instantiation	37, 38, 39	⊢
	: , : , :
29	theorem		⊢
	proveit.logic.equality.four_chain_transitivity
30	instantiation	43, 40	⊢
	: , : , :
31	instantiation	41, 42	⊢
	: , :
32	instantiation	43, 44	⊢
	: , : , :
33	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
34	theorem		⊢
	proveit.numbers.multiplication.mult_complex_closure_bin
35	instantiation	45, 60, 46, 47	⊢
	: , :
36	instantiation	103, 82, 48	⊢
	: , : , :
37	theorem		⊢
	proveit.logic.equality.sub_right_side_into
38	instantiation	49, 60, 73, 50	⊢
	: , : , :
39	instantiation	52, 60, 51	⊢
	: , :
40	instantiation	52, 53, 54	⊢
	: , :
41	theorem		⊢
	proveit.logic.equality.equals_reversal
42	instantiation	55, 73, 67, 66, 62	⊢
	: , : , :
43	axiom		⊢
	proveit.logic.equality.substitution
44	instantiation	56, 57, 58	⊢
	: , :
45	theorem		⊢
	proveit.numbers.division.div_complex_closure
46	instantiation	59, 73, 60	⊢
	: , :
47	instantiation	61, 62, 63	⊢
	: , : , :
48	instantiation	103, 92, 64	⊢
	: , : , :
49	theorem		⊢
	proveit.numbers.addition.subtraction.subtract_from_add_reversed
50	theorem		⊢
	proveit.numbers.numerals.decimals.add_1_1
51	instantiation	103, 82, 65	⊢
	: , : , :
52	theorem		⊢
	proveit.numbers.addition.commutation
53	instantiation	103, 82, 66	⊢
	: , : , :
54	instantiation	103, 82, 67	⊢
	: , : , :
55	theorem		⊢
	proveit.numbers.exponentiation.product_of_real_powers
56	theorem		⊢
	proveit.numbers.exponentiation.neg_power_as_div
57	instantiation	103, 68, 69	⊢
	: , : , :
58	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
59	theorem		⊢
	proveit.numbers.exponentiation.exp_complex_closure
60	instantiation	103, 82, 70	⊢
	: , : , :
61	theorem		⊢
	proveit.logic.equality.sub_left_side_into
62	instantiation	71, 99	⊢
	:
63	instantiation	72, 73	⊢
	:
64	instantiation	103, 100, 74	⊢
	: , : , :
65	instantiation	103, 92, 75	⊢
	: , : , :
66	instantiation	76, 77, 95	⊢
	: , : , :
67	instantiation	103, 92, 78	⊢
	: , : , :
68	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_nonzero_within_complex_nonzero
69	instantiation	103, 79, 80	⊢
	: , : , :
70	instantiation	103, 92, 81	⊢
	: , : , :
71	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
72	theorem		⊢
	proveit.numbers.exponentiation.complex_x_to_first_power_is_x
73	instantiation	103, 82, 83	⊢
	: , : , :
74	instantiation	84, 101, 85	⊢
	: , :
75	instantiation	103, 100, 86	⊢
	: , : , :
76	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
77	instantiation	87, 88	⊢
	: , :
78	instantiation	103, 100, 89	⊢
	: , : , :
79	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_nonzero_within_real_nonzero
80	instantiation	103, 90, 91	⊢
	: , : , :
81	instantiation	103, 100, 97	⊢
	: , : , :
82	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
83	instantiation	103, 92, 93	⊢
	: , : , :
84	theorem		⊢
	proveit.numbers.exponentiation.exp_int_closure
85	instantiation	103, 94, 95	⊢
	: , : , :
86	instantiation	96, 101	⊢
	:
87	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
88	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
89	instantiation	96, 97	⊢
	:
90	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nonzero_int_within_rational_nonzero
91	instantiation	103, 98, 99	⊢
	: , : , :
92	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
93	instantiation	103, 100, 101	⊢
	: , : , :
94	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nat_pos_within_nat
95	axiom		⊢
	proveit.physics.quantum.QPE._t_in_natural_pos
96	theorem		⊢
	proveit.numbers.negation.int_closure
97	instantiation	103, 104, 102	⊢
	: , : , :
98	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_nonzero_int
99	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
100	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
101	instantiation	103, 104, 105	⊢
	: , : , :
102	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
103	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
104	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
105	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
*equality replacement requirements