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