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	⊢
	: , : , :
1	theorem		⊢
	proveit.numbers.addition.subtraction.negated_add
2	instantiation	111, 89, 6	⊢
	: , : , :
3	instantiation	111, 89, 7	⊢
	: , : , :
4	reference	56	⊢
5	instantiation	67, 8, 9	⊢
	: , : , :
6	instantiation	10, 97, 86, 43	⊢
	: , :
7	instantiation	10, 21, 22, 17	⊢
	: , :
8	instantiation	58, 11	⊢
	: , : , :
9	instantiation	12, 110, 100, 13*	⊢
	: , : , : , :
10	theorem		⊢
	proveit.numbers.division.div_real_closure
11	instantiation	14, 15, 16, 17, 18*	⊢
	: , :
12	theorem		⊢
	proveit.numbers.addition.rational_pair_addition
13	instantiation	67, 19, 20	⊢
	: , : , :
14	theorem		⊢
	proveit.numbers.division.div_as_mult
15	instantiation	111, 89, 21	⊢
	: , : , :
16	instantiation	111, 89, 22	⊢
	: , : , :
17	instantiation	54, 33	⊢
	:
18	instantiation	67, 23, 24	⊢
	: , : , :
19	instantiation	48, 106, 25, 26, 27, 28	⊢
	: , : , : , :
20	instantiation	29, 30, 31	⊢
	:
21	instantiation	101, 102, 32	⊢
	: , : , :
22	instantiation	101, 102, 33	⊢
	: , : , :
23	instantiation	58, 34	⊢
	: , : , :
24	instantiation	35, 73, 36, 88, 43, 37*	⊢
	: , : , :
25	instantiation	87	⊢
	: , :
26	instantiation	87	⊢
	: , :
27	instantiation	67, 38, 39	⊢
	: , : , :
28	theorem		⊢
	proveit.numbers.numerals.decimals.mult_2_2
29	theorem		⊢
	proveit.numbers.division.frac_cancel_complete
30	instantiation	111, 89, 40	⊢
	: , : , :
31	instantiation	54, 41	⊢
	:
32	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_minus_one_is_nat_pos
33	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_is_nat_pos
34	instantiation	42, 73, 95, 90, 43, 44*	⊢
	: , : , :
35	theorem		⊢
	proveit.numbers.exponentiation.product_of_real_powers
36	instantiation	45, 95, 90	⊢
	: , :
37	instantiation	67, 46, 47	⊢
	: , : , :
38	instantiation	48, 106, 49, 50, 51, 52	⊢
	: , : , : , :
39	theorem		⊢
	proveit.numbers.numerals.decimals.add_2_2
40	instantiation	111, 104, 53	⊢
	: , : , :
41	theorem		⊢
	proveit.numbers.numerals.decimals.posnat4
42	theorem		⊢
	proveit.numbers.exponentiation.real_power_of_real_power
43	instantiation	54, 99	⊢
	:
44	instantiation	55, 81, 56, 57*	⊢
	: , :
45	theorem		⊢
	proveit.numbers.addition.add_real_closure_bin
46	instantiation	58, 59	⊢
	: , : , :
47	instantiation	60, 61, 62, 63*	⊢
	: , :
48	axiom		⊢
	proveit.core_expr_types.operations.operands_substitution
49	instantiation	87	⊢
	: , :
50	instantiation	87	⊢
	: , :
51	instantiation	64, 73	⊢
	:
52	instantiation	66, 73	⊢
	:
53	instantiation	111, 109, 65	⊢
	: , : , :
54	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
55	theorem		⊢
	proveit.numbers.multiplication.mult_neg_right
56	instantiation	111, 89, 97	⊢
	: , : , :
57	instantiation	66, 81	⊢
	:
58	axiom		⊢
	proveit.logic.equality.substitution
59	instantiation	67, 68, 69	⊢
	: , : , :
60	theorem		⊢
	proveit.numbers.exponentiation.neg_power_as_div
61	instantiation	111, 70, 71	⊢
	: , : , :
62	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
63	instantiation	72, 73	⊢
	:
64	theorem		⊢
	proveit.numbers.multiplication.elim_one_left
65	instantiation	111, 112, 74	⊢
	: , : , :
66	theorem		⊢
	proveit.numbers.multiplication.elim_one_right
67	axiom		⊢
	proveit.logic.equality.equals_transitivity
68	instantiation	75, 76, 106, 113, 77, 78, 81, 82, 79	⊢
	: , : , : , : , : , :
69	instantiation	80, 81, 82, 83	⊢
	: , : , :
70	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_nonzero_within_complex_nonzero
71	instantiation	111, 84, 85	⊢
	: , : , :
72	theorem		⊢
	proveit.numbers.exponentiation.complex_x_to_first_power_is_x
73	instantiation	111, 89, 86	⊢
	: , : , :
74	theorem		⊢
	proveit.numbers.numerals.decimals.nat4
75	theorem		⊢
	proveit.numbers.addition.disassociation
76	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
77	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
78	instantiation	87	⊢
	: , :
79	instantiation	111, 89, 88	⊢
	: , : , :
80	theorem		⊢
	proveit.numbers.addition.subtraction.add_cancel_triple_13
81	instantiation	111, 89, 95	⊢
	: , : , :
82	instantiation	111, 89, 90	⊢
	: , : , :
83	instantiation	91	⊢
	:
84	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_nonzero_within_real_nonzero
85	instantiation	111, 92, 93	⊢
	: , : , :
86	instantiation	111, 104, 94	⊢
	: , : , :
87	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
88	instantiation	96, 95	⊢
	:
89	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
90	instantiation	96, 97	⊢
	:
91	axiom		⊢
	proveit.logic.equality.equals_reflexivity
92	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nonzero_int_within_rational_nonzero
93	instantiation	111, 98, 99	⊢
	: , : , :
94	instantiation	111, 109, 100	⊢
	: , : , :
95	instantiation	101, 102, 103	⊢
	: , : , :
96	theorem		⊢
	proveit.numbers.negation.real_closure
97	instantiation	111, 104, 105	⊢
	: , : , :
98	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_nonzero_int
99	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
100	instantiation	111, 112, 106	⊢
	: , : , :
101	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
102	instantiation	107, 108	⊢
	: , :
103	axiom		⊢
	proveit.physics.quantum.QPE._t_in_natural_pos
104	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
105	instantiation	111, 109, 110	⊢
	: , : , :
106	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
107	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
108	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
109	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
110	instantiation	111, 112, 113	⊢
	: , : , :
111	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
112	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
113	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
*equality replacement requirements