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, 5	,  ⊢
	: , : , :
3	axiom		⊢
	proveit.logic.equality.equals_transitivity
4	instantiation	6, 7, 12, 10, 8, 13, 15, 16, 17, 19, 18	,  ⊢
	: , : , : , : , : , : , :
5	instantiation	9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19	,  ⊢
	: , : , : , : , : , :
6	theorem		⊢
	proveit.numbers.multiplication.rightward_commutation
7	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
8	instantiation	20	⊢
	: , : , :
9	theorem		⊢
	proveit.numbers.multiplication.association
10	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
11	theorem		⊢
	proveit.numbers.numerals.decimals.nat4
12	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
13	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
14	instantiation	21	⊢
	: , : , : , :
15	instantiation	37, 25, 22	⊢
	: , : , :
16	instantiation	37, 25, 23	⊢
	: , : , :
17	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.i_is_complex
18	instantiation	37, 25, 24	⊢
	: , : , :
19	instantiation	37, 25, 26	⊢
	: , : , :
20	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
21	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_4_typical_eq
22	instantiation	37, 31, 27	⊢
	: , : , :
23	instantiation	37, 28, 29	⊢
	: , : , :
24	instantiation	37, 31, 30	⊢
	: , : , :
25	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
26	instantiation	37, 31, 32	⊢
	: , : , :
27	instantiation	37, 35, 33	⊢
	: , : , :
28	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real
29	theorem		⊢
	proveit.numbers.number_sets.real_numbers.pi_is_real_pos
30	instantiation	37, 35, 34	⊢
	: , : , :
31	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
32	instantiation	37, 35, 36	⊢
	: , : , :
33	instantiation	37, 38, 39	⊢
	: , : , :
34	assumption		⊢
35	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
36	assumption		⊢
37	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
38	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
39	theorem		⊢
	proveit.numbers.numerals.decimals.nat2