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	reference	14	⊢
2	instantiation	17, 4	⊢
	:
3	instantiation	5, 6, 34, 7, 8, 9, 10*	⊢
	: , : , :
4	theorem		⊢
	proveit.numbers.numerals.decimals.posnat9
5	theorem		⊢
	proveit.numbers.exponentiation.exp_pos_less
6	instantiation	43, 39, 11	⊢
	: , : , :
7	instantiation	43, 12, 13	⊢
	: , : , :
8	instantiation	14, 15, 16	⊢
	: , :
9	instantiation	17, 27	⊢
	:
10	instantiation	18, 19, 20, 21	⊢
	: , : , : , :
11	instantiation	43, 41, 22	⊢
	: , : , :
12	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real
13	theorem		⊢
	proveit.numbers.number_sets.real_numbers.pi_is_real_pos
14	theorem		⊢
	proveit.logic.booleans.conjunction.and_if_both
15	instantiation	23, 45	⊢
	:
16	instantiation	24, 25	⊢
	: , :
17	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.natural_pos_is_pos
18	theorem		⊢
	proveit.logic.equality.four_chain_transitivity
19	instantiation	26, 27, 28	⊢
	: , :
20	instantiation	29, 36, 30, 31, 32	⊢
	: , : , : , :
21	theorem		⊢
	proveit.numbers.numerals.decimals.mult_3_3
22	instantiation	43, 44, 36	⊢
	: , : , :
23	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.natural_lower_bound
24	theorem		⊢
	proveit.logic.booleans.conjunction.left_from_and
25	theorem		⊢
	proveit.numbers.number_sets.real_numbers.pi_between_3_and_4
26	theorem		⊢
	proveit.numbers.exponentiation.exp_nat_pos_expansion
27	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
28	instantiation	43, 33, 34	⊢
	: , : , :
29	theorem		⊢
	proveit.core_expr_types.operations.operands_substitution_via_tuple
30	instantiation	35, 36	⊢
	: , :
31	instantiation	37	⊢
	: , :
32	instantiation	38	⊢
	:
33	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
34	instantiation	43, 39, 40	⊢
	: , : , :
35	theorem		⊢
	proveit.core_expr_types.tuples.range_from1_len_typical_eq
36	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
37	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
38	theorem		⊢
	proveit.numbers.numerals.decimals.reduce_2_repeats
39	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
40	instantiation	43, 41, 42	⊢
	: , : , :
41	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
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.nat3
*equality replacement requirements