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