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	50, 7, 6	⊢
	: , : , :
3	instantiation	50, 7, 8	⊢
	: , : , :
4	instantiation	50, 28, 9	⊢
	: , : , :
5	instantiation	10, 11	⊢
	:
6	instantiation	50, 12, 23	⊢
	: , : , :
7	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_nonzero_within_complex_nonzero
8	instantiation	50, 13, 14	⊢
	: , : , :
9	instantiation	15, 39, 16	⊢
	: , :
10	theorem		⊢
	proveit.numbers.multiplication.elim_one_right
11	instantiation	50, 28, 17	⊢
	: , : , :
12	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real_nonzero
13	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_nonzero_within_real_nonzero
14	instantiation	50, 18, 19	⊢
	: , : , :
15	theorem		⊢
	proveit.numbers.multiplication.mult_real_closure_bin
16	instantiation	50, 20, 21	⊢
	: , : , :
17	instantiation	50, 22, 23	⊢
	: , : , :
18	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nonzero_int_within_rational_nonzero
19	instantiation	50, 24, 25	⊢
	: , : , :
20	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_nonneg_within_real
21	instantiation	26, 27	⊢
	:
22	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real
23	theorem		⊢
	proveit.numbers.number_sets.real_numbers.pi_is_real_pos
24	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_nonzero_int
25	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
26	theorem		⊢
	proveit.numbers.absolute_value.abs_complex_closure
27	instantiation	50, 28, 29	⊢
	: , : , :
28	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
29	instantiation	30, 31, 34, 32	⊢
	: , : , :
30	theorem		⊢
	proveit.numbers.number_sets.real_numbers.all_in_interval_co__is__real
31	instantiation	33, 34	⊢
	:
32	instantiation	35, 36	⊢
	:
33	theorem		⊢
	proveit.numbers.negation.real_closure
34	instantiation	37, 38, 39, 40	⊢
	: , :
35	theorem		⊢
	proveit.physics.quantum.QPE._delta_b_floor_diff_in_interval
36	assumption		⊢
37	theorem		⊢
	proveit.numbers.division.div_real_closure
38	instantiation	50, 42, 41	⊢
	: , : , :
39	instantiation	50, 42, 43	⊢
	: , : , :
40	instantiation	44, 45	⊢
	:
41	instantiation	50, 47, 46	⊢
	: , : , :
42	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
43	instantiation	50, 47, 48	⊢
	: , : , :
44	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
45	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
46	instantiation	50, 51, 49	⊢
	: , : , :
47	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
48	instantiation	50, 51, 52	⊢
	: , : , :
49	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
50	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
51	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
52	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
*equality replacement requirements