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.numbers.ordering.transitivity_less_less
2	instantiation	15, 3, 4	⊢
	: , :
3	instantiation	18, 5	⊢
	:
4	instantiation	6, 7, 35, 8, 9, 10, 11*	⊢
	: , : , :
5	theorem		⊢
	proveit.numbers.numerals.decimals.posnat9
6	theorem		⊢
	proveit.numbers.exponentiation.exp_pos_less
7	instantiation	44, 40, 12	⊢
	: , : , :
8	instantiation	44, 13, 14	⊢
	: , : , :
9	instantiation	15, 16, 17	⊢
	: , :
10	instantiation	18, 28	⊢
	:
11	instantiation	19, 20, 21, 22	⊢
	: , : , : , :
12	instantiation	44, 42, 23	⊢
	: , : , :
13	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real
14	theorem		⊢
	proveit.numbers.number_sets.real_numbers.pi_is_real_pos
15	theorem		⊢
	proveit.logic.booleans.conjunction.and_if_both
16	instantiation	24, 46	⊢
	:
17	instantiation	25, 26	⊢
	: , :
18	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.natural_pos_is_pos
19	theorem		⊢
	proveit.logic.equality.four_chain_transitivity
20	instantiation	27, 28, 29	⊢
	: , :
21	instantiation	30, 37, 31, 32, 33	⊢
	: , : , : , :
22	theorem		⊢
	proveit.numbers.numerals.decimals.mult_3_3
23	instantiation	44, 45, 37	⊢
	: , : , :
24	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.natural_lower_bound
25	theorem		⊢
	proveit.logic.booleans.conjunction.left_from_and
26	theorem		⊢
	proveit.numbers.number_sets.real_numbers.pi_between_3_and_4
27	theorem		⊢
	proveit.numbers.exponentiation.exp_nat_pos_expansion
28	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
29	instantiation	44, 34, 35	⊢
	: , : , :
30	theorem		⊢
	proveit.core_expr_types.operations.operands_substitution_via_tuple
31	instantiation	36, 37	⊢
	: , :
32	instantiation	38	⊢
	: , :
33	instantiation	39	⊢
	:
34	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
35	instantiation	44, 40, 41	⊢
	: , : , :
36	theorem		⊢
	proveit.core_expr_types.tuples.range_from1_len_typical_eq
37	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
38	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
39	theorem		⊢
	proveit.numbers.numerals.decimals.reduce_2_repeats
40	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
41	instantiation	44, 42, 43	⊢
	: , : , :
42	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
43	instantiation	44, 45, 46	⊢
	: , : , :
44	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
45	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
46	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
*equality replacement requirements