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	⊢
	: , : , :
1	reference	6	⊢
2	instantiation	4, 87, 97, 21, 5, 22, 30, 12	⊢
	: , : , : , : , : , :
3	instantiation	6, 7, 8	⊢
	: , : , :
4	theorem		⊢
	proveit.numbers.addition.disassociation
5	instantiation	28	⊢
	: , :
6	axiom		⊢
	proveit.logic.equality.equals_transitivity
7	instantiation	9, 87, 21, 22, 30, 12	⊢
	: , : , : , : , : , : , :
8	instantiation	10, 21, 97, 87, 22, 11, 30, 12, 13*	⊢
	: , : , : , : , : , :
9	theorem		⊢
	proveit.numbers.addition.leftward_commutation
10	theorem		⊢
	proveit.numbers.addition.association
11	instantiation	28	⊢
	: , :
12	instantiation	95, 33, 14	⊢
	: , : , :
13	instantiation	15, 16, 17*	⊢
	: , :
14	instantiation	39, 40, 18, 19	⊢
	: , :
15	theorem		⊢
	proveit.logic.equality.equals_reversal
16	instantiation	20, 21, 97, 87, 22, 23, 24, 30, 25*	⊢
	: , : , : , : , : , :
17	theorem		⊢
	proveit.numbers.numerals.decimals.add_1_1
18	instantiation	44, 26, 97	⊢
	: , :
19	instantiation	46, 27, 48	⊢
	: , :
20	theorem		⊢
	proveit.numbers.multiplication.distribute_through_sum
21	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
22	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
23	instantiation	28	⊢
	: , :
24	instantiation	95, 33, 40	⊢
	: , : , :
25	instantiation	29, 30	⊢
	:
26	instantiation	95, 49, 31	⊢
	: , : , :
27	instantiation	95, 52, 32	⊢
	: , : , :
28	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
29	theorem		⊢
	proveit.numbers.multiplication.elim_one_left
30	instantiation	95, 33, 34	⊢
	: , : , :
31	instantiation	95, 54, 72	⊢
	: , : , :
32	instantiation	95, 56, 69	⊢
	: , : , :
33	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
34	modus ponens	35, 36	⊢
35	instantiation	37	⊢
	: , : , :
36	generalization	38	⊢
37	theorem		⊢
	proveit.numbers.summation.summation_real_closure
38	instantiation	39, 40, 41, 42	,  ⊢
	: , :
39	theorem		⊢
	proveit.numbers.division.div_real_closure
40	instantiation	95, 49, 43	⊢
	: , : , :
41	instantiation	44, 45, 97	,  ⊢
	: , :
42	instantiation	46, 47, 48	,  ⊢
	: , :
43	instantiation	95, 54, 84	⊢
	: , : , :
44	theorem		⊢
	proveit.numbers.exponentiation.exp_real_closure_nat_power
45	instantiation	95, 49, 50	,  ⊢
	: , : , :
46	theorem		⊢
	proveit.numbers.exponentiation.exp_rational_non_zero__not_zero
47	instantiation	95, 52, 51	,  ⊢
	: , : , :
48	instantiation	95, 52, 53	⊢
	: , : , :
49	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
50	instantiation	95, 54, 58	,  ⊢
	: , : , :
51	instantiation	95, 56, 55	,  ⊢
	: , : , :
52	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nonzero_int_within_rational_nonzero
53	instantiation	95, 56, 57	⊢
	: , : , :
54	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
55	instantiation	71, 58, 59	,  ⊢
	:
56	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_nonzero_int
57	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
58	instantiation	95, 60, 67	,  ⊢
	: , : , :
59	instantiation	77, 61, 62	,  ⊢
	: , : , :
60	instantiation	82, 65, 66	⊢
	: , :
61	instantiation	63, 64	⊢
	:
62	instantiation	83, 65, 66, 67	,  ⊢
	: , : , :
63	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.natural_pos_is_pos
64	instantiation	68, 69, 81	⊢
	: , :
65	instantiation	88, 72, 84	⊢
	: , :
66	instantiation	88, 89, 70	⊢
	: , :
67	assumption		⊢
68	theorem		⊢
	proveit.numbers.addition.add_nat_pos_closure_bin
69	instantiation	71, 72, 73	⊢
	:
70	instantiation	95, 74, 75	⊢
	: , : , :
71	theorem		⊢
	proveit.numbers.number_sets.integers.pos_int_is_natural_pos
72	instantiation	95, 76, 86	⊢
	: , : , :
73	instantiation	77, 78, 79	⊢
	: , : , :
74	theorem		⊢
	proveit.numbers.number_sets.integers.neg_int_within_int
75	instantiation	80, 81	⊢
	:
76	instantiation	82, 84, 85	⊢
	: , :
77	theorem		⊢
	proveit.numbers.ordering.transitivity_less_less_eq
78	theorem		⊢
	proveit.numbers.numerals.decimals.less_0_1
79	instantiation	83, 84, 85, 86	⊢
	: , : , :
80	theorem		⊢
	proveit.numbers.negation.int_neg_closure
81	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
82	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
83	theorem		⊢
	proveit.numbers.number_sets.integers.interval_lower_bound
84	instantiation	95, 96, 87	⊢
	: , : , :
85	instantiation	88, 89, 90	⊢
	: , :
86	assumption		⊢
87	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
88	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
89	instantiation	95, 91, 92	⊢
	: , : , :
90	instantiation	93, 94	⊢
	:
91	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
92	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_minus_one_is_nat_pos
93	theorem		⊢
	proveit.numbers.negation.int_closure
94	instantiation	95, 96, 97	⊢
	: , : , :
95	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
96	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
97	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
*equality replacement requirements