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.multiplication.weak_bound_via_right_factor_bound
2	instantiation	59, 55, 6	⊢
	: , : , :
3	instantiation	59, 55, 7	⊢
	: , : , :
4	instantiation	8, 9, 10, 11, 12	⊢
	: , : , :
5	instantiation	13, 14	⊢
	: , :
6	instantiation	59, 15, 30	⊢
	: , : , :
7	instantiation	16, 34, 17, 18	⊢
	: , :
8	theorem		⊢
	proveit.numbers.division.weak_div_from_denom_bound__all_pos
9	instantiation	59, 19, 20	⊢
	: , : , :
10	instantiation	59, 21, 43	⊢
	: , : , :
11	instantiation	59, 21, 22	⊢
	: , : , :
12	instantiation	23, 50, 24, 25, 26, 27, 28*	⊢
	: , : , :
13	theorem		⊢
	proveit.numbers.ordering.relax_less
14	instantiation	29, 30	⊢
	:
15	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.rational_pos_within_rational
16	theorem		⊢
	proveit.numbers.division.div_rational_closure
17	instantiation	59, 57, 31	⊢
	: , : , :
18	instantiation	32, 45	⊢
	:
19	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_nonneg_within_real_nonneg
20	instantiation	59, 33, 54	⊢
	: , : , :
21	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_pos_within_real_pos
22	instantiation	59, 52, 45	⊢
	: , : , :
23	theorem		⊢
	proveit.numbers.exponentiation.exp_monotonicity_large_base_less_eq
24	instantiation	59, 55, 34	⊢
	: , : , :
25	instantiation	35, 36, 38	⊢
	: , : , :
26	theorem		⊢
	proveit.numbers.numerals.decimals.less_1_2
27	instantiation	37, 38	⊢
	:
28	instantiation	39, 40	⊢
	:
29	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.positive_if_in_rational_pos
30	instantiation	41, 42, 43	⊢
	: , :
31	instantiation	59, 44, 45	⊢
	: , : , :
32	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
33	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nat_within_rational_nonneg
34	instantiation	59, 57, 46	⊢
	: , : , :
35	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
36	instantiation	47, 48	⊢
	: , :
37	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.natural_pos_lower_bound
38	axiom		⊢
	proveit.physics.quantum.QPE._t_in_natural_pos
39	theorem		⊢
	proveit.numbers.exponentiation.complex_x_to_first_power_is_x
40	instantiation	59, 49, 50	⊢
	: , : , :
41	theorem		⊢
	proveit.numbers.division.div_rational_pos_closure
42	instantiation	59, 52, 51	⊢
	: , : , :
43	instantiation	59, 52, 53	⊢
	: , : , :
44	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
45	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_is_nat_pos
46	instantiation	59, 60, 54	⊢
	: , : , :
47	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
48	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
49	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
50	instantiation	59, 55, 56	⊢
	: , : , :
51	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
52	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nat_pos_within_rational_pos
53	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
54	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
55	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
56	instantiation	59, 57, 58	⊢
	: , : , :
57	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
58	instantiation	59, 60, 61	⊢
	: , : , :
59	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
60	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
61	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
*equality replacement requirements