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, 5*	,  ⊢
	: , : , :
1	theorem		⊢
	proveit.numbers.division.frac_cancel_left
2	instantiation	40, 7, 6	⊢
	: , : , :
3	instantiation	40, 7, 8	⊢
	: , : , :
4	instantiation	40, 19, 9	,  ⊢
	: , : , :
5	instantiation	10, 11	⊢
	:
6	instantiation	40, 13, 12	⊢
	: , : , :
7	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_nonzero_within_complex_nonzero
8	instantiation	40, 13, 14	⊢
	: , : , :
9	instantiation	15, 16, 17, 18	,  ⊢
	: , : , :
10	theorem		⊢
	proveit.numbers.multiplication.elim_one_right
11	instantiation	40, 19, 25	⊢
	: , : , :
12	instantiation	40, 21, 20	⊢
	: , : , :
13	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_nonzero_within_real_nonzero
14	instantiation	40, 21, 22	⊢
	: , : , :
15	theorem		⊢
	proveit.numbers.number_sets.real_numbers.all_in_interval_oc__is__real
16	theorem		⊢
	proveit.numbers.number_sets.real_numbers.zero_is_real
17	instantiation	23, 24, 25, 26	⊢
	: , :
18	instantiation	27, 28, 29	,  ⊢
	:
19	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
20	instantiation	40, 30, 37	⊢
	: , : , :
21	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nonzero_int_within_rational_nonzero
22	instantiation	40, 30, 31	⊢
	: , : , :
23	theorem		⊢
	proveit.numbers.division.div_real_closure
24	instantiation	40, 32, 33	⊢
	: , : , :
25	instantiation	40, 34, 35	⊢
	: , : , :
26	instantiation	36, 37	⊢
	:
27	theorem		⊢
	proveit.physics.quantum.QPE._scaled_abs_delta_b_floor_diff_interval
28	assumption		⊢
29	assumption		⊢
30	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_nonzero_int
31	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
32	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real
33	theorem		⊢
	proveit.numbers.number_sets.real_numbers.pi_is_real_pos
34	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
35	instantiation	40, 38, 39	⊢
	: , : , :
36	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
37	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
38	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
39	instantiation	40, 41, 42	⊢
	: , : , :
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.nat2
*equality replacement requirements