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	52, 9, 10	⊢
	: , : , :
3	reference	30	⊢
4	reference	27	⊢
5	instantiation	11, 44, 49, 42	⊢
	: , : , :
6	instantiation	12, 13	⊢
	: , :
7	instantiation	15, 16, 21, 14*	⊢
	: , :
8	instantiation	15, 16, 24, 17*	⊢
	: , :
9	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_neg_within_real
10	instantiation	52, 18, 19	⊢
	: , : , :
11	theorem		⊢
	proveit.numbers.number_sets.integers.interval_upper_bound
12	theorem		⊢
	proveit.numbers.ordering.relax_less
13	instantiation	20, 26	⊢
	:
14	instantiation	23, 21	⊢
	:
15	theorem		⊢
	proveit.numbers.multiplication.mult_neg_left
16	instantiation	52, 29, 22	⊢
	: , : , :
17	instantiation	23, 24	⊢
	:
18	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_neg_within_real_neg
19	instantiation	52, 25, 26	⊢
	: , : , :
20	theorem		⊢
	proveit.numbers.number_sets.integers.negative_if_in_neg_int
21	instantiation	52, 29, 27	⊢
	: , : , :
22	instantiation	52, 35, 28	⊢
	: , : , :
23	theorem		⊢
	proveit.numbers.multiplication.elim_one_left
24	instantiation	52, 29, 30	⊢
	: , : , :
25	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.neg_int_within_rational_neg
26	instantiation	31, 32	⊢
	:
27	instantiation	33, 34, 54	⊢
	: , : , :
28	instantiation	52, 39, 47	⊢
	: , : , :
29	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
30	instantiation	52, 35, 36	⊢
	: , : , :
31	theorem		⊢
	proveit.numbers.negation.int_neg_closure
32	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
33	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
34	instantiation	37, 38	⊢
	: , :
35	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
36	instantiation	52, 39, 40	⊢
	: , : , :
37	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
38	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
39	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
40	instantiation	52, 41, 42	⊢
	: , : , :
41	instantiation	43, 44, 49	⊢
	: , :
42	assumption		⊢
43	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
44	instantiation	45, 46, 47	⊢
	: , :
45	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
46	instantiation	48, 49	⊢
	:
47	instantiation	52, 50, 51	⊢
	: , : , :
48	theorem		⊢
	proveit.numbers.negation.int_closure
49	instantiation	52, 53, 54	⊢
	: , : , :
50	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
51	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
52	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
53	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
54	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_minus_one_is_nat_pos
*equality replacement requirements