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.number_sets.real_numbers.interval_co_upper_bound
2	reference	29	⊢
3	reference	30	⊢
4	instantiation	5, 6, 7	⊢
	: , : , :
5	theorem		⊢
	proveit.logic.equality.sub_right_side_into
6	instantiation	8, 18, 9	⊢
	: , : , :
7	instantiation	10, 11, 12	⊢
	: , :
8	theorem		⊢
	proveit.logic.equality.sub_left_side_into
9	instantiation	13, 14	⊢
	:
10	theorem		⊢
	proveit.numbers.absolute_value.abs_diff_reversal
11	instantiation	43, 15, 23	⊢
	: , : , :
12	instantiation	43, 15, 16	⊢
	: , : , :
13	theorem		⊢
	proveit.numbers.absolute_value.abs_non_neg_elim
14	instantiation	17, 29, 30, 18	⊢
	: , : , :
15	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
16	instantiation	43, 33, 19	⊢
	: , : , :
17	theorem		⊢
	proveit.numbers.number_sets.real_numbers.interval_co_lower_bound
18	instantiation	20, 23	⊢
	:
19	instantiation	43, 38, 21	⊢
	: , : , :
20	theorem		⊢
	proveit.numbers.rounding.real_minus_floor_interval
21	instantiation	22, 23	⊢
	:
22	axiom		⊢
	proveit.numbers.rounding.floor_is_an_int
23	instantiation	24, 25, 26	⊢
	: , :
24	theorem		⊢
	proveit.numbers.multiplication.mult_real_closure_bin
25	instantiation	43, 33, 27	⊢
	: , : , :
26	instantiation	28, 29, 30, 31	⊢
	: , : , :
27	instantiation	43, 38, 32	⊢
	: , : , :
28	theorem		⊢
	proveit.numbers.number_sets.real_numbers.all_in_interval_co__is__real
29	theorem		⊢
	proveit.numbers.number_sets.real_numbers.zero_is_real
30	instantiation	43, 33, 34	⊢
	: , : , :
31	axiom		⊢
	proveit.physics.quantum.QPE._phase_in_interval
32	instantiation	35, 36, 37	⊢
	: , :
33	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
34	instantiation	43, 38, 39	⊢
	: , : , :
35	theorem		⊢
	proveit.numbers.exponentiation.exp_int_closure
36	instantiation	43, 44, 40	⊢
	: , : , :
37	instantiation	43, 41, 42	⊢
	: , : , :
38	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
39	instantiation	43, 44, 45	⊢
	: , : , :
40	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
41	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nat_pos_within_nat
42	axiom		⊢
	proveit.physics.quantum.QPE._t_in_natural_pos
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.nat1