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, 6*, 7*	⊢
	: , : , :
1	theorem		⊢
	proveit.numbers.addition.weak_bound_via_left_term_bound
2	instantiation	8, 49	⊢
	:
3	reference	11	⊢
4	instantiation	9, 11, 54, 12	⊢
	: , : , :
5	instantiation	10, 11, 54, 12	⊢
	: , : , :
6	instantiation	13, 14, 15	⊢
	: , : , :
7	instantiation	16, 17, 18	⊢
	: , : , :
8	theorem		⊢
	proveit.numbers.negation.real_closure
9	theorem		⊢
	proveit.numbers.number_sets.real_numbers.all_in_interval_co__is__real
10	theorem		⊢
	proveit.numbers.number_sets.real_numbers.interval_co_lower_bound
11	theorem		⊢
	proveit.numbers.number_sets.real_numbers.zero_is_real
12	instantiation	19, 46, 20*	⊢
	:
13	theorem		⊢
	proveit.logic.equality.sub_right_side_into
14	instantiation	21, 26	⊢
	:
15	instantiation	22, 26, 23	⊢
	: , :
16	axiom		⊢
	proveit.logic.equality.equals_transitivity
17	instantiation	29, 30, 24, 70, 31, 25, 33, 36, 34, 26	⊢
	: , : , : , : , : , :
18	instantiation	27, 70, 30, 31, 33, 36, 34, 28	⊢
	: , : , : , : , : , : , : , :
19	theorem		⊢
	proveit.numbers.rounding.real_minus_floor_interval
20	instantiation	29, 30, 73, 70, 31, 32, 33, 36, 34	⊢
	: , : , : , : , : , :
21	theorem		⊢
	proveit.numbers.addition.elim_zero_right
22	theorem		⊢
	proveit.numbers.addition.commutation
23	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.zero_is_complex
24	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
25	instantiation	35	⊢
	: , : , :
26	instantiation	39, 36	⊢
	:
27	theorem		⊢
	proveit.numbers.addition.subtraction.add_cancel_general
28	instantiation	37	⊢
	:
29	theorem		⊢
	proveit.numbers.addition.disassociation
30	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
31	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
32	instantiation	38	⊢
	: , :
33	instantiation	71, 41, 48	⊢
	: , : , :
34	instantiation	39, 40	⊢
	:
35	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
36	instantiation	71, 41, 49	⊢
	: , : , :
37	axiom		⊢
	proveit.logic.equality.equals_reflexivity
38	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
39	theorem		⊢
	proveit.numbers.negation.complex_closure
40	instantiation	57, 42, 43	⊢
	: , : , :
41	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
42	instantiation	65, 44	⊢
	: , :
43	instantiation	45, 46	⊢
	:
44	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.int_within_complex
45	axiom		⊢
	proveit.numbers.rounding.floor_is_an_int
46	instantiation	47, 48, 49	⊢
	: , :
47	theorem		⊢
	proveit.numbers.addition.add_real_closure_bin
48	instantiation	50, 51, 52	⊢
	: , :
49	instantiation	53, 54, 55, 56	⊢
	: , :
50	theorem		⊢
	proveit.numbers.multiplication.mult_real_closure_bin
51	instantiation	57, 58, 59	⊢
	: , : , :
52	theorem		⊢
	proveit.physics.quantum.QPE._phase_is_real
53	theorem		⊢
	proveit.numbers.division.div_real_closure
54	instantiation	71, 61, 60	⊢
	: , : , :
55	instantiation	71, 61, 62	⊢
	: , : , :
56	instantiation	63, 64	⊢
	:
57	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
58	instantiation	65, 66	⊢
	: , :
59	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_is_nat_pos
60	instantiation	71, 68, 67	⊢
	: , : , :
61	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
62	instantiation	71, 68, 69	⊢
	: , : , :
63	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
64	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
65	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
66	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
67	instantiation	71, 72, 70	⊢
	: , : , :
68	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
69	instantiation	71, 72, 73	⊢
	: , : , :
70	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
71	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
72	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
73	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
*equality replacement requirements