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	7	⊢
2	instantiation	4, 56, 12, 5, 6, 13, 16, 17, 18	⊢
	: , : , : , : , : , :
3	instantiation	7, 8, 9	⊢
	: , : , :
4	theorem		⊢
	proveit.numbers.multiplication.disassociation
5	instantiation	20	⊢
	: , :
6	instantiation	20	⊢
	: , :
7	axiom		⊢
	proveit.logic.equality.equals_transitivity
8	instantiation	10, 53, 16, 17, 18	⊢
	: , : , : , : , : , : , :
9	instantiation	11, 12, 56, 13, 14, 15, 16, 17, 18, 19*	⊢
	: , : , : , : , : , :
10	theorem		⊢
	proveit.numbers.multiplication.leftward_commutation
11	theorem		⊢
	proveit.numbers.multiplication.association
12	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
13	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
14	instantiation	20	⊢
	: , :
15	instantiation	20	⊢
	: , :
16	instantiation	54, 32, 43	⊢
	: , : , :
17	instantiation	54, 32, 21	⊢
	: , : , :
18	instantiation	54, 32, 22	⊢
	: , : , :
19	theorem		⊢
	proveit.numbers.numerals.decimals.mult_2_2
20	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
21	instantiation	23, 24, 25	⊢
	: , : , :
22	instantiation	54, 26, 27	⊢
	: , : , :
23	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
24	instantiation	28, 29	⊢
	: , :
25	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_is_nat_pos
26	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_nonneg_within_real
27	instantiation	30, 31	⊢
	:
28	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
29	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
30	theorem		⊢
	proveit.numbers.absolute_value.abs_complex_closure
31	instantiation	54, 32, 33	⊢
	: , : , :
32	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
33	instantiation	34, 35, 38, 36	⊢
	: , : , :
34	theorem		⊢
	proveit.numbers.number_sets.real_numbers.all_in_interval_co__is__real
35	instantiation	37, 38	⊢
	:
36	instantiation	39, 40	⊢
	:
37	theorem		⊢
	proveit.numbers.negation.real_closure
38	instantiation	41, 42, 43, 44	⊢
	: , :
39	theorem		⊢
	proveit.physics.quantum.QPE._delta_b_floor_diff_in_interval
40	assumption		⊢
41	theorem		⊢
	proveit.numbers.division.div_real_closure
42	instantiation	54, 46, 45	⊢
	: , : , :
43	instantiation	54, 46, 47	⊢
	: , : , :
44	instantiation	48, 49	⊢
	:
45	instantiation	54, 51, 50	⊢
	: , : , :
46	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
47	instantiation	54, 51, 52	⊢
	: , : , :
48	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
49	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
50	instantiation	54, 55, 53	⊢
	: , : , :
51	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
52	instantiation	54, 55, 56	⊢
	: , : , :
53	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
54	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
55	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
56	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
*equality replacement requirements