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	theorem		⊢
	proveit.logic.equality.equals_reversal
2	instantiation	4, 5, 62, 35, 6, 7, 8, 14	⊢
	: , : , : , : , : , :
3	instantiation	36, 9, 10	⊢
	: , : , :
4	theorem		⊢
	proveit.numbers.multiplication.distribute_through_sum
5	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
6	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
7	instantiation	48	⊢
	: , :
8	instantiation	60, 53, 11	⊢
	: , : , :
9	instantiation	12, 13	⊢
	: , : , :
10	instantiation	49, 14	⊢
	:
11	instantiation	15, 16, 54, 17	⊢
	: , :
12	axiom		⊢
	proveit.logic.equality.substitution
13	instantiation	18, 27, 59, 19*	⊢
	: , : , : , :
14	instantiation	60, 53, 20	⊢
	: , : , :
15	theorem		⊢
	proveit.numbers.division.div_real_closure
16	instantiation	60, 56, 21	⊢
	: , : , :
17	instantiation	40, 22	⊢
	:
18	theorem		⊢
	proveit.numbers.addition.rational_pair_addition
19	instantiation	36, 23, 24	⊢
	: , : , :
20	instantiation	60, 25, 26	⊢
	: , : , :
21	instantiation	60, 58, 27	⊢
	: , : , :
22	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
23	instantiation	42, 62, 28, 29, 30, 31	⊢
	: , : , : , :
24	instantiation	32, 33, 34	⊢
	:
25	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real
26	theorem		⊢
	proveit.numbers.number_sets.real_numbers.pi_is_real_pos
27	instantiation	60, 61, 35	⊢
	: , : , :
28	instantiation	48	⊢
	: , :
29	instantiation	48	⊢
	: , :
30	instantiation	36, 37, 38	⊢
	: , : , :
31	theorem		⊢
	proveit.numbers.numerals.decimals.mult_2_2
32	theorem		⊢
	proveit.numbers.division.frac_cancel_complete
33	instantiation	60, 53, 39	⊢
	: , : , :
34	instantiation	40, 41	⊢
	:
35	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
36	axiom		⊢
	proveit.logic.equality.equals_transitivity
37	instantiation	42, 62, 43, 44, 45, 46	⊢
	: , : , : , :
38	theorem		⊢
	proveit.numbers.numerals.decimals.add_2_2
39	instantiation	60, 56, 47	⊢
	: , : , :
40	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
41	theorem		⊢
	proveit.numbers.numerals.decimals.posnat4
42	axiom		⊢
	proveit.core_expr_types.operations.operands_substitution
43	instantiation	48	⊢
	: , :
44	instantiation	48	⊢
	: , :
45	instantiation	49, 51	⊢
	:
46	instantiation	50, 51	⊢
	:
47	instantiation	60, 58, 52	⊢
	: , : , :
48	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
49	theorem		⊢
	proveit.numbers.multiplication.elim_one_left
50	theorem		⊢
	proveit.numbers.multiplication.elim_one_right
51	instantiation	60, 53, 54	⊢
	: , : , :
52	instantiation	60, 61, 55	⊢
	: , : , :
53	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
54	instantiation	60, 56, 57	⊢
	: , : , :
55	theorem		⊢
	proveit.numbers.numerals.decimals.nat4
56	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
57	instantiation	60, 58, 59	⊢
	: , : , :
58	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
59	instantiation	60, 61, 62	⊢
	: , : , :
60	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
61	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
62	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
*equality replacement requirements