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