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	⊢
	: , : , :
1	axiom		⊢
	proveit.logic.equality.substitution
2	instantiation	3, 4	⊢
	:
3	theorem		⊢
	proveit.numbers.addition.elim_zero_left
4	instantiation	5, 6	⊢
	:
5	theorem		⊢
	proveit.numbers.negation.complex_closure
6	instantiation	7, 8, 9	⊢
	: , : , :
7	theorem		⊢
	proveit.logic.equality.sub_right_side_into
8	instantiation	46, 20, 10	⊢
	: , : , :
9	instantiation	11, 12, 48, 45, 13, 14, 15, 16, 17	⊢
	: , : , : , : , : , :
10	instantiation	22, 18, 21	⊢
	: , :
11	theorem		⊢
	proveit.numbers.multiplication.disassociation
12	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
13	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
14	instantiation	19	⊢
	: , :
15	instantiation	46, 20, 35	⊢
	: , : , :
16	instantiation	46, 20, 23	⊢
	: , : , :
17	instantiation	46, 20, 21	⊢
	: , : , :
18	instantiation	22, 35, 23	⊢
	: , :
19	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
20	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
21	instantiation	24, 25, 30, 26	⊢
	: , : , :
22	theorem		⊢
	proveit.numbers.multiplication.mult_real_closure_bin
23	instantiation	46, 27, 28	⊢
	: , : , :
24	theorem		⊢
	proveit.numbers.number_sets.real_numbers.all_in_interval_co__is__real
25	instantiation	29, 30	⊢
	:
26	instantiation	31, 32	⊢
	:
27	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real
28	theorem		⊢
	proveit.numbers.number_sets.real_numbers.pi_is_real_pos
29	theorem		⊢
	proveit.numbers.negation.real_closure
30	instantiation	33, 34, 35, 36	⊢
	: , :
31	theorem		⊢
	proveit.physics.quantum.QPE._delta_b_floor_diff_in_interval
32	assumption		⊢
33	theorem		⊢
	proveit.numbers.division.div_real_closure
34	instantiation	46, 38, 37	⊢
	: , : , :
35	instantiation	46, 38, 39	⊢
	: , : , :
36	instantiation	40, 41	⊢
	:
37	instantiation	46, 43, 42	⊢
	: , : , :
38	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
39	instantiation	46, 43, 44	⊢
	: , : , :
40	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
41	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
42	instantiation	46, 47, 45	⊢
	: , : , :
43	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
44	instantiation	46, 47, 48	⊢
	: , : , :
45	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
46	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
47	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
48	theorem		⊢
	proveit.numbers.numerals.decimals.nat2