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