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	axiom		⊢
	proveit.logic.equality.equals_transitivity
2	instantiation	5, 45, 30, 6, 9, 7, 4, 10, 11	⊢
	: , : , : , : , : , :
3	instantiation	5, 6, 30, 7, 8, 9, 13, 14, 10, 11	⊢
	: , : , : , : , : , :
4	instantiation	12, 13, 14	⊢
	: , :
5	theorem		⊢
	proveit.numbers.multiplication.disassociation
6	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
7	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
8	instantiation	15	⊢
	: , :
9	instantiation	15	⊢
	: , :
10	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.i_is_complex
11	instantiation	43, 18, 16	⊢
	: , : , :
12	theorem		⊢
	proveit.numbers.multiplication.mult_complex_closure_bin
13	instantiation	43, 18, 17	⊢
	: , : , :
14	instantiation	43, 18, 19	⊢
	: , : , :
15	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
16	instantiation	43, 21, 20	⊢
	: , : , :
17	instantiation	43, 21, 22	⊢
	: , : , :
18	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
19	instantiation	43, 23, 24	⊢
	: , : , :
20	instantiation	43, 26, 25	⊢
	: , : , :
21	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
22	instantiation	43, 26, 27	⊢
	: , : , :
23	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real
24	theorem		⊢
	proveit.numbers.number_sets.real_numbers.pi_is_real_pos
25	instantiation	43, 28, 29	⊢
	: , : , :
26	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
27	instantiation	43, 44, 30	⊢
	: , : , :
28	instantiation	31, 32, 33	⊢
	: , :
29	instantiation	34, 35, 40	⊢
	: , :
30	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
31	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
32	theorem		⊢
	proveit.numbers.number_sets.integers.zero_is_int
33	instantiation	36, 37, 38	⊢
	: , :
34	theorem		⊢
	proveit.numbers.modular.mod_natpos_in_interval
35	assumption		⊢
36	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
37	instantiation	43, 39, 40	⊢
	: , : , :
38	instantiation	41, 42	⊢
	:
39	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
40	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_is_nat_pos
41	theorem		⊢
	proveit.numbers.negation.int_closure
42	instantiation	43, 44, 45	⊢
	: , : , :
43	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
44	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
45	theorem		⊢
	proveit.numbers.numerals.decimals.nat1