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*, 8*	⊢
	: , : , :
1	theorem		⊢
	proveit.numbers.multiplication.reversed_weak_bound_via_right_factor_bound
2	instantiation	66, 9, 10	⊢
	: , : , :
3	reference	43	⊢
4	reference	26	⊢
5	instantiation	11, 56, 63, 49	⊢
	: , : , :
6	instantiation	12, 13	⊢
	: , :
7	instantiation	15, 31, 20, 14*	⊢
	: , :
8	instantiation	15, 31, 37, 16*	⊢
	: , :
9	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_neg_within_real
10	instantiation	66, 17, 18	⊢
	: , : , :
11	theorem		⊢
	proveit.numbers.number_sets.integers.interval_lower_bound
12	theorem		⊢
	proveit.numbers.ordering.relax_less
13	instantiation	19, 25	⊢
	:
14	instantiation	36, 20	⊢
	:
15	theorem		⊢
	proveit.numbers.multiplication.mult_neg_left
16	instantiation	21, 22, 23	⊢
	: , : , :
17	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_neg_within_real_neg
18	instantiation	66, 24, 25	⊢
	: , : , :
19	theorem		⊢
	proveit.numbers.number_sets.integers.negative_if_in_neg_int
20	instantiation	66, 46, 26	⊢
	: , : , :
21	axiom		⊢
	proveit.logic.equality.equals_transitivity
22	instantiation	27, 28	⊢
	: , : , :
23	instantiation	29, 30, 31, 32*	⊢
	: , :
24	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.neg_int_within_rational_neg
25	instantiation	33, 34	⊢
	:
26	instantiation	66, 50, 35	⊢
	: , : , :
27	axiom		⊢
	proveit.logic.equality.substitution
28	instantiation	36, 37	⊢
	:
29	theorem		⊢
	proveit.numbers.negation.distribute_neg_through_binary_sum
30	instantiation	66, 46, 38	⊢
	: , : , :
31	instantiation	66, 46, 39	⊢
	: , : , :
32	instantiation	40, 41	⊢
	:
33	theorem		⊢
	proveit.numbers.negation.int_neg_closure
34	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
35	instantiation	66, 55, 42	⊢
	: , : , :
36	theorem		⊢
	proveit.numbers.multiplication.elim_one_left
37	instantiation	66, 46, 43	⊢
	: , : , :
38	instantiation	66, 50, 44	⊢
	: , : , :
39	instantiation	66, 50, 45	⊢
	: , : , :
40	theorem		⊢
	proveit.numbers.negation.double_negation
41	instantiation	66, 46, 47	⊢
	: , : , :
42	instantiation	66, 48, 49	⊢
	: , : , :
43	instantiation	66, 50, 51	⊢
	: , : , :
44	instantiation	66, 55, 60	⊢
	: , : , :
45	instantiation	66, 55, 61	⊢
	: , : , :
46	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
47	instantiation	52, 53, 68	⊢
	: , : , :
48	instantiation	54, 56, 63	⊢
	: , :
49	assumption		⊢
50	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
51	instantiation	66, 55, 56	⊢
	: , : , :
52	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
53	instantiation	57, 58	⊢
	: , :
54	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
55	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
56	instantiation	59, 60, 61	⊢
	: , :
57	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
58	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
59	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
60	instantiation	62, 63	⊢
	:
61	instantiation	66, 64, 65	⊢
	: , : , :
62	theorem		⊢
	proveit.numbers.negation.int_closure
63	instantiation	66, 67, 68	⊢
	: , : , :
64	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
65	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
66	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
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
*equality replacement requirements