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	⊢
	: , : , : , :
1	theorem		⊢
	proveit.logic.equality.four_chain_transitivity
2	instantiation	5, 6, 7, 8, 9, 10, 11, 16*, 19*	⊢
	: , : , : , :
3	instantiation	33	⊢
	:
4	instantiation	12, 13	⊢
	: , :
5	theorem		⊢
	proveit.core_expr_types.tuples.general_len
6	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
7	instantiation	14	⊢
	: , :
8	instantiation	14	⊢
	: , :
9	instantiation	14	⊢
	: , :
10	instantiation	17, 15, 16	⊢
	: , : , :
11	instantiation	17, 18, 19	⊢
	: , : , :
12	theorem		⊢
	proveit.logic.equality.equals_reversal
13	instantiation	20, 21	⊢
	: , :
14	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
15	instantiation	45, 27, 35	⊢
	: , : , :
16	instantiation	23, 24, 22, 26	⊢
	: , : , :
17	theorem		⊢
	proveit.logic.equality.sub_left_side_into
18	instantiation	45, 27, 40	⊢
	: , : , :
19	instantiation	23, 24, 25, 26	⊢
	: , : , :
20	theorem		⊢
	proveit.core_expr_types.tuples.range_from1_len
21	instantiation	45, 27, 28	⊢
	: , : , :
22	instantiation	45, 31, 29	⊢
	: , : , :
23	theorem		⊢
	proveit.numbers.addition.subtraction.add_cancel_triple_32
24	instantiation	45, 31, 30	⊢
	: , : , :
25	instantiation	45, 31, 32	⊢
	: , : , :
26	instantiation	33	⊢
	:
27	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nat_pos_within_nat
28	instantiation	34, 35, 40	⊢
	: , :
29	instantiation	38, 39, 35	⊢
	: , : , :
30	instantiation	45, 36, 37	⊢
	: , : , :
31	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
32	instantiation	38, 39, 40	⊢
	: , : , :
33	axiom		⊢
	proveit.logic.equality.equals_reflexivity
34	theorem		⊢
	proveit.numbers.addition.add_nat_pos_closure_bin
35	axiom		⊢
	proveit.physics.quantum.QPE._t_in_natural_pos
36	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
37	instantiation	45, 41, 42	⊢
	: , : , :
38	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
39	instantiation	43, 44	⊢
	: , :
40	axiom		⊢
	proveit.physics.quantum.QPE._s_in_nat_pos
41	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
42	instantiation	45, 46, 47	⊢
	: , : , :
43	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
44	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
45	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
46	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
47	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
*equality replacement requirements