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	theorem		⊢
	proveit.numbers.negation.distribute_neg_through_subtract
2	instantiation	40, 5, 4	⊢
	: , : , :
3	instantiation	40, 5, 6	⊢
	: , : , :
4	instantiation	40, 30, 7	⊢
	: , : , :
5	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
6	instantiation	40, 30, 8	⊢
	: , : , :
7	instantiation	40, 35, 9	⊢
	: , : , :
8	instantiation	40, 35, 10	⊢
	: , : , :
9	instantiation	40, 11, 12	⊢
	: , : , :
10	instantiation	13, 14	⊢
	:
11	instantiation	15, 16, 17	⊢
	: , :
12	assumption		⊢
13	axiom		⊢
	proveit.numbers.rounding.floor_is_an_int
14	instantiation	18, 19, 20	⊢
	: , :
15	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
16	theorem		⊢
	proveit.numbers.number_sets.integers.zero_is_int
17	instantiation	21, 29, 22	⊢
	: , :
18	theorem		⊢
	proveit.numbers.multiplication.mult_real_closure_bin
19	instantiation	40, 30, 23	⊢
	: , : , :
20	instantiation	24, 25, 26, 27	⊢
	: , : , :
21	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
22	instantiation	28, 36	⊢
	:
23	instantiation	40, 35, 29	⊢
	: , : , :
24	theorem		⊢
	proveit.numbers.number_sets.real_numbers.all_in_interval_co__is__real
25	theorem		⊢
	proveit.numbers.number_sets.real_numbers.zero_is_real
26	instantiation	40, 30, 31	⊢
	: , : , :
27	axiom		⊢
	proveit.physics.quantum.QPE._phase_in_interval
28	theorem		⊢
	proveit.numbers.negation.int_closure
29	instantiation	32, 33, 34	⊢
	: , :
30	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
31	instantiation	40, 35, 36	⊢
	: , : , :
32	theorem		⊢
	proveit.numbers.exponentiation.exp_int_closure
33	instantiation	40, 41, 37	⊢
	: , : , :
34	instantiation	40, 38, 39	⊢
	: , : , :
35	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
36	instantiation	40, 41, 42	⊢
	: , : , :
37	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
38	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nat_pos_within_nat
39	axiom		⊢
	proveit.physics.quantum.QPE._t_in_natural_pos
40	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
41	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
42	theorem		⊢
	proveit.numbers.numerals.decimals.nat1