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	⊢
	: , : , :
1	theorem		⊢
	proveit.numbers.addition.subtraction.add_cancel_triple_13
2	instantiation	60, 6, 5	⊢
	: , : , :
3	instantiation	60, 6, 7	⊢
	: , : , :
4	instantiation	8	⊢
	:
5	instantiation	10, 9, 39, 12	⊢
	: , :
6	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
7	instantiation	10, 11, 39, 12	⊢
	: , :
8	axiom		⊢
	proveit.logic.equality.equals_reflexivity
9	instantiation	14, 15, 13	⊢
	: , :
10	theorem		⊢
	proveit.numbers.modular.mod_abs_real_closure
11	instantiation	14, 15, 16	⊢
	: , :
12	instantiation	17, 18, 19	⊢
	: , :
13	instantiation	22, 20	⊢
	:
14	theorem		⊢
	proveit.numbers.addition.add_real_closure_bin
15	instantiation	60, 50, 21	⊢
	: , : , :
16	instantiation	22, 34	⊢
	:
17	theorem		⊢
	proveit.numbers.exponentiation.exp_rational_non_zero__not_zero
18	instantiation	60, 24, 23	⊢
	: , : , :
19	instantiation	60, 24, 25	⊢
	: , : , :
20	instantiation	60, 50, 26	⊢
	: , : , :
21	instantiation	60, 55, 27	⊢
	: , : , :
22	theorem		⊢
	proveit.numbers.negation.real_closure
23	instantiation	60, 29, 28	⊢
	: , : , :
24	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nonzero_int_within_rational_nonzero
25	instantiation	60, 29, 59	⊢
	: , : , :
26	instantiation	60, 55, 30	⊢
	: , : , :
27	instantiation	60, 31, 32	⊢
	: , : , :
28	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
29	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_nonzero_int
30	instantiation	33, 34	⊢
	:
31	instantiation	35, 36, 37	⊢
	: , :
32	assumption		⊢
33	axiom		⊢
	proveit.numbers.rounding.floor_is_an_int
34	instantiation	38, 39, 40	⊢
	: , :
35	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
36	theorem		⊢
	proveit.numbers.number_sets.integers.zero_is_int
37	instantiation	41, 49, 42	⊢
	: , :
38	theorem		⊢
	proveit.numbers.multiplication.mult_real_closure_bin
39	instantiation	60, 50, 43	⊢
	: , : , :
40	instantiation	44, 45, 46, 47	⊢
	: , : , :
41	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
42	instantiation	48, 56	⊢
	:
43	instantiation	60, 55, 49	⊢
	: , : , :
44	theorem		⊢
	proveit.numbers.number_sets.real_numbers.all_in_interval_co__is__real
45	theorem		⊢
	proveit.numbers.number_sets.real_numbers.zero_is_real
46	instantiation	60, 50, 51	⊢
	: , : , :
47	axiom		⊢
	proveit.physics.quantum.QPE._phase_in_interval
48	theorem		⊢
	proveit.numbers.negation.int_closure
49	instantiation	52, 53, 54	⊢
	: , :
50	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
51	instantiation	60, 55, 56	⊢
	: , : , :
52	theorem		⊢
	proveit.numbers.exponentiation.exp_int_closure
53	instantiation	60, 61, 57	⊢
	: , : , :
54	instantiation	60, 58, 59	⊢
	: , : , :
55	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
56	instantiation	60, 61, 62	⊢
	: , : , :
57	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
58	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nat_pos_within_nat
59	axiom		⊢
	proveit.physics.quantum.QPE._t_in_natural_pos
60	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
61	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
62	theorem		⊢
	proveit.numbers.numerals.decimals.nat1