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	⊢
	: , : , :
1	theorem		⊢
	proveit.numbers.ordering.less_eq_add_right_strong
2	instantiation	72, 68, 7	⊢
	: , : , :
3	instantiation	8, 11	⊢
	: , :
4	instantiation	72, 68, 9	⊢
	: , : , :
5	instantiation	10, 11, 12, 13, 14	⊢
	: , : , :
6	instantiation	41, 16	⊢
	:
7	instantiation	15, 17, 18	⊢
	: , :
8	theorem		⊢
	proveit.numbers.multiplication.mult_real_closure_bin
9	instantiation	72, 27, 16	⊢
	: , : , :
10	theorem		⊢
	proveit.numbers.multiplication.weak_bound_via_right_factor_bound
11	instantiation	72, 68, 17	⊢
	: , : , :
12	instantiation	72, 68, 18	⊢
	: , : , :
13	instantiation	19, 20, 21, 22, 23	⊢
	: , : , :
14	instantiation	24, 25	⊢
	: , :
15	theorem		⊢
	proveit.numbers.multiplication.mult_rational_closure_bin
16	instantiation	54, 55, 26	⊢
	: , :
17	instantiation	72, 27, 42	⊢
	: , : , :
18	instantiation	28, 47, 29, 30	⊢
	: , :
19	theorem		⊢
	proveit.numbers.division.weak_div_from_denom_bound__all_pos
20	instantiation	72, 31, 32	⊢
	: , : , :
21	instantiation	72, 33, 56	⊢
	: , : , :
22	instantiation	72, 33, 34	⊢
	: , : , :
23	instantiation	35, 63, 36, 37, 38, 39, 40*	⊢
	: , : , :
24	theorem		⊢
	proveit.numbers.ordering.relax_less
25	instantiation	41, 42	⊢
	:
26	instantiation	72, 65, 43	⊢
	: , : , :
27	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.rational_pos_within_rational
28	theorem		⊢
	proveit.numbers.division.div_rational_closure
29	instantiation	72, 70, 44	⊢
	: , : , :
30	instantiation	45, 58	⊢
	:
31	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_nonneg_within_real_nonneg
32	instantiation	72, 46, 67	⊢
	: , : , :
33	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_pos_within_real_pos
34	instantiation	72, 65, 58	⊢
	: , : , :
35	theorem		⊢
	proveit.numbers.exponentiation.exp_monotonicity_large_base_less_eq
36	instantiation	72, 68, 47	⊢
	: , : , :
37	instantiation	48, 49, 51	⊢
	: , : , :
38	theorem		⊢
	proveit.numbers.numerals.decimals.less_1_2
39	instantiation	50, 51	⊢
	:
40	instantiation	52, 53	⊢
	:
41	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.positive_if_in_rational_pos
42	instantiation	54, 55, 56	⊢
	: , :
43	theorem		⊢
	proveit.numbers.numerals.decimals.posnat4
44	instantiation	72, 57, 58	⊢
	: , : , :
45	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
46	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nat_within_rational_nonneg
47	instantiation	72, 70, 59	⊢
	: , : , :
48	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
49	instantiation	60, 61	⊢
	: , :
50	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.natural_pos_lower_bound
51	axiom		⊢
	proveit.physics.quantum.QPE._t_in_natural_pos
52	theorem		⊢
	proveit.numbers.exponentiation.complex_x_to_first_power_is_x
53	instantiation	72, 62, 63	⊢
	: , : , :
54	theorem		⊢
	proveit.numbers.division.div_rational_pos_closure
55	instantiation	72, 65, 64	⊢
	: , : , :
56	instantiation	72, 65, 66	⊢
	: , : , :
57	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
58	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_is_nat_pos
59	instantiation	72, 73, 67	⊢
	: , : , :
60	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
61	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
62	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
63	instantiation	72, 68, 69	⊢
	: , : , :
64	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
65	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nat_pos_within_rational_pos
66	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
67	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
68	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
69	instantiation	72, 70, 71	⊢
	: , : , :
70	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
71	instantiation	72, 73, 74	⊢
	: , : , :
72	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
73	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
74	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
*equality replacement requirements