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	⊢
	: , : , :
1	theorem		⊢
	proveit.logic.sets.inclusion.fold_subset_eq
2	generalization	3	⊢
3	instantiation	4, 5, 6	,  ⊢
	:
4	theorem		⊢
	proveit.numbers.number_sets.real_numbers.pos_real_is_real_pos
5	instantiation	7, 13, 14, 15	,  ⊢
	: , : , :
6	instantiation	24, 8, 9	,  ⊢
	: , : , :
7	theorem		⊢
	proveit.numbers.number_sets.real_numbers.all_in_interval_cc__is__real
8	instantiation	10, 11	⊢
	: , :
9	instantiation	12, 13, 14, 15	,  ⊢
	: , : , :
10	theorem		⊢
	proveit.numbers.addition.subtraction.pos_difference
11	instantiation	16, 40, 17, 18, 19, 20*	⊢
	: , : , :
12	theorem		⊢
	proveit.numbers.number_sets.real_numbers.interval_cc_lower_bound
13	instantiation	62, 44, 21	⊢
	: , : , :
14	instantiation	62, 44, 22	⊢
	: , : , :
15	assumption		⊢
16	theorem		⊢
	proveit.numbers.addition.strong_bound_via_left_term_bound
17	theorem		⊢
	proveit.numbers.number_sets.real_numbers.zero_is_real
18	instantiation	62, 44, 23	⊢
	: , : , :
19	instantiation	24, 25, 26	⊢
	: , : , :
20	instantiation	27, 28, 29	⊢
	: , : , :
21	instantiation	62, 50, 30	⊢
	: , : , :
22	instantiation	62, 50, 31	⊢
	: , : , :
23	instantiation	62, 50, 41	⊢
	: , : , :
24	theorem		⊢
	proveit.numbers.ordering.transitivity_less_less_eq
25	theorem		⊢
	proveit.numbers.numerals.decimals.less_0_1
26	instantiation	32, 52, 53, 47	⊢
	: , : , :
27	theorem		⊢
	proveit.logic.equality.sub_right_side_into
28	instantiation	33, 35	⊢
	:
29	instantiation	34, 35, 36	⊢
	: , :
30	instantiation	55, 37, 38	⊢
	: , :
31	instantiation	55, 56, 38	⊢
	: , :
32	theorem		⊢
	proveit.numbers.number_sets.integers.interval_lower_bound
33	theorem		⊢
	proveit.numbers.addition.elim_zero_right
34	theorem		⊢
	proveit.numbers.addition.commutation
35	instantiation	62, 39, 40	⊢
	: , : , :
36	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.zero_is_complex
37	instantiation	55, 41, 52	⊢
	: , :
38	instantiation	62, 42, 43	⊢
	: , : , :
39	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
40	instantiation	62, 44, 45	⊢
	: , : , :
41	instantiation	62, 46, 47	⊢
	: , : , :
42	theorem		⊢
	proveit.numbers.number_sets.integers.neg_int_within_int
43	instantiation	48, 49	⊢
	:
44	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
45	instantiation	62, 50, 52	⊢
	: , : , :
46	instantiation	51, 52, 53	⊢
	: , :
47	assumption		⊢
48	theorem		⊢
	proveit.numbers.negation.int_neg_closure
49	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
50	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
51	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
52	instantiation	62, 63, 54	⊢
	: , : , :
53	instantiation	55, 56, 57	⊢
	: , :
54	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
55	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
56	instantiation	62, 58, 59	⊢
	: , : , :
57	instantiation	60, 61	⊢
	:
58	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
59	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_minus_one_is_nat_pos
60	theorem		⊢
	proveit.numbers.negation.int_closure
61	instantiation	62, 63, 64	⊢
	: , : , :
62	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
63	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
64	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
*equality replacement requirements