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