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