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_add_right_weak_int
2	instantiation	72, 73, 7	⊢
	: , : , :
3	instantiation	72, 73, 8	⊢
	: , : , :
4	reference	70	⊢
5	instantiation	9, 40, 14, 10, 43, 11	⊢
	: , : , :
6	instantiation	12, 13, 14, 41, 15, 16*, 17*	⊢
	: , : , :
7	instantiation	19, 74, 18	⊢
	: , :
8	instantiation	19, 74, 20	⊢
	: , :
9	theorem		⊢
	proveit.numbers.multiplication.strong_bound_via_right_factor_bound
10	instantiation	72, 59, 21	⊢
	: , : , :
11	instantiation	22, 23	⊢
	:
12	theorem		⊢
	proveit.numbers.addition.weak_bound_via_left_term_bound
13	instantiation	24, 54	⊢
	:
14	theorem		⊢
	proveit.numbers.number_sets.real_numbers.zero_is_real
15	instantiation	25, 61	⊢
	:
16	instantiation	26, 27, 28	⊢
	: , : , :
17	instantiation	29, 30, 46, 31, 32	⊢
	: , : , :
18	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
19	theorem		⊢
	proveit.numbers.multiplication.mult_nat_closure_bin
20	instantiation	33, 35, 34	⊢
	:
21	instantiation	72, 65, 35	⊢
	: , : , :
22	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.natural_pos_is_pos
23	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
24	theorem		⊢
	proveit.numbers.negation.real_closure
25	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.natural_lower_bound
26	theorem		⊢
	proveit.logic.equality.sub_right_side_into
27	instantiation	36, 38	⊢
	:
28	instantiation	37, 38, 39	⊢
	: , :
29	theorem		⊢
	proveit.numbers.addition.subtraction.subtract_from_add
30	instantiation	72, 53, 40	⊢
	: , : , :
31	instantiation	72, 53, 41	⊢
	: , : , :
32	theorem		⊢
	proveit.numbers.numerals.decimals.add_2_1
33	theorem		⊢
	proveit.numbers.number_sets.integers.nonneg_int_is_natural
34	instantiation	42, 43	⊢
	: , :
35	instantiation	72, 44, 58	⊢
	: , : , :
36	theorem		⊢
	proveit.numbers.addition.elim_zero_right
37	theorem		⊢
	proveit.numbers.addition.commutation
38	instantiation	45, 46	⊢
	:
39	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.zero_is_complex
40	instantiation	72, 59, 47	⊢
	: , : , :
41	instantiation	72, 59, 48	⊢
	: , : , :
42	theorem		⊢
	proveit.numbers.ordering.relax_less
43	instantiation	49, 50, 51	⊢
	: , : , :
44	instantiation	52, 66, 57	⊢
	: , :
45	theorem		⊢
	proveit.numbers.negation.complex_closure
46	instantiation	72, 53, 54	⊢
	: , : , :
47	instantiation	72, 65, 70	⊢
	: , : , :
48	instantiation	72, 65, 55	⊢
	: , : , :
49	theorem		⊢
	proveit.numbers.ordering.transitivity_less_less_eq
50	theorem		⊢
	proveit.numbers.numerals.decimals.less_0_1
51	instantiation	56, 66, 57, 58	⊢
	: , : , :
52	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
53	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
54	instantiation	72, 59, 60	⊢
	: , : , :
55	instantiation	72, 73, 61	⊢
	: , : , :
56	theorem		⊢
	proveit.numbers.number_sets.integers.interval_lower_bound
57	instantiation	62, 63, 64	⊢
	: , :
58	assumption		⊢
59	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
60	instantiation	72, 65, 66	⊢
	: , : , :
61	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
62	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
63	instantiation	72, 67, 68	⊢
	: , : , :
64	instantiation	69, 70	⊢
	:
65	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
66	instantiation	72, 73, 71	⊢
	: , : , :
67	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
68	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_minus_one_is_nat_pos
69	theorem		⊢
	proveit.numbers.negation.int_closure
70	instantiation	72, 73, 74	⊢
	: , : , :
71	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
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