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