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	⊢
	: , : , :
1	theorem		⊢
	proveit.numbers.division.strong_div_from_denom_bound__all_pos
2	instantiation	58, 7, 6	⊢
	: , : , :
3	instantiation	58, 7, 8	⊢
	: , : , :
4	instantiation	9, 10, 11	⊢
	:
5	reference	18	⊢
6	instantiation	58, 13, 12	⊢
	: , : , :
7	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_pos_within_real_pos
8	instantiation	58, 13, 19	⊢
	: , : , :
9	theorem		⊢
	proveit.numbers.number_sets.real_numbers.pos_real_is_real_pos
10	instantiation	14, 22, 51	⊢
	: , :
11	instantiation	15, 16	⊢
	: , : , :
12	theorem		⊢
	proveit.numbers.numerals.decimals.posnat4
13	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nat_pos_within_rational_pos
14	theorem		⊢
	proveit.numbers.exponentiation.exp_real_closure_nat_power
15	axiom		⊢
	proveit.numbers.ordering.transitivity_less_less
16	instantiation	29, 17, 18	⊢
	: , :
17	instantiation	32, 19	⊢
	:
18	instantiation	20, 21, 49, 22, 23, 24, 25*	⊢
	: , : , :
19	theorem		⊢
	proveit.numbers.numerals.decimals.posnat9
20	theorem		⊢
	proveit.numbers.exponentiation.exp_pos_less
21	instantiation	58, 54, 26	⊢
	: , : , :
22	instantiation	58, 27, 28	⊢
	: , : , :
23	instantiation	29, 30, 31	⊢
	: , :
24	instantiation	32, 42	⊢
	:
25	instantiation	33, 34, 35, 36	⊢
	: , : , : , :
26	instantiation	58, 56, 37	⊢
	: , : , :
27	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real
28	theorem		⊢
	proveit.numbers.number_sets.real_numbers.pi_is_real_pos
29	theorem		⊢
	proveit.logic.booleans.conjunction.and_if_both
30	instantiation	38, 60	⊢
	:
31	instantiation	39, 40	⊢
	: , :
32	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.natural_pos_is_pos
33	theorem		⊢
	proveit.logic.equality.four_chain_transitivity
34	instantiation	41, 42, 43	⊢
	: , :
35	instantiation	44, 51, 45, 46, 47	⊢
	: , : , : , :
36	theorem		⊢
	proveit.numbers.numerals.decimals.mult_3_3
37	instantiation	58, 59, 51	⊢
	: , : , :
38	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.natural_lower_bound
39	theorem		⊢
	proveit.logic.booleans.conjunction.left_from_and
40	theorem		⊢
	proveit.numbers.number_sets.real_numbers.pi_between_3_and_4
41	theorem		⊢
	proveit.numbers.exponentiation.exp_nat_pos_expansion
42	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
43	instantiation	58, 48, 49	⊢
	: , : , :
44	theorem		⊢
	proveit.core_expr_types.operations.operands_substitution_via_tuple
45	instantiation	50, 51	⊢
	: , :
46	instantiation	52	⊢
	: , :
47	instantiation	53	⊢
	:
48	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
49	instantiation	58, 54, 55	⊢
	: , : , :
50	theorem		⊢
	proveit.core_expr_types.tuples.range_from1_len_typical_eq
51	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
52	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
53	theorem		⊢
	proveit.numbers.numerals.decimals.reduce_2_repeats
54	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
55	instantiation	58, 56, 57	⊢
	: , : , :
56	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
57	instantiation	58, 59, 60	⊢
	: , : , :
58	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
59	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
60	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
*equality replacement requirements