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*, 8*	,  ⊢
	: , : , :
1	theorem		⊢
	proveit.numbers.division.weak_div_from_numer_bound__pos_denom
2	reference	40	⊢
3	theorem		⊢
	proveit.numbers.number_sets.real_numbers.zero_is_real
4	instantiation	68, 51, 9	,  ⊢
	: , : , :
5	instantiation	10, 34, 35, 26	,  ⊢
	: , : , :
6	instantiation	11, 56	⊢
	:
7	instantiation	12, 31, 13	⊢
	:
8	instantiation	14, 15, 16	,  ⊢
	: , : , :
9	instantiation	68, 59, 17	,  ⊢
	: , : , :
10	theorem		⊢
	proveit.numbers.number_sets.integers.interval_lower_bound
11	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.natural_pos_is_pos
12	theorem		⊢
	proveit.numbers.division.frac_zero_numer
13	instantiation	18, 56	⊢
	:
14	axiom		⊢
	proveit.logic.equality.equals_transitivity
15	instantiation	19, 20, 21, 24, 22*	,  ⊢
	: , : , :
16	instantiation	23, 24	⊢
	:
17	instantiation	68, 25, 26	,  ⊢
	: , : , :
18	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
19	theorem		⊢
	proveit.numbers.division.frac_cancel_left
20	instantiation	68, 28, 27	⊢
	: , : , :
21	instantiation	68, 28, 29	⊢
	: , : , :
22	instantiation	30, 31	⊢
	:
23	theorem		⊢
	proveit.numbers.division.frac_one_denom
24	instantiation	68, 39, 32	⊢
	: , : , :
25	instantiation	33, 34, 35	⊢
	: , :
26	instantiation	41, 61, 45	⊢
	: , : , : , : , :
27	instantiation	68, 37, 36	⊢
	: , : , :
28	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_nonzero_within_complex_nonzero
29	instantiation	68, 37, 38	⊢
	: , : , :
30	theorem		⊢
	proveit.numbers.multiplication.elim_one_right
31	instantiation	68, 39, 40	⊢
	: , : , :
32	instantiation	41, 42, 67, 43, 44, 45	⊢
	: , : , : , : , :
33	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
34	theorem		⊢
	proveit.numbers.number_sets.integers.zero_is_int
35	instantiation	46, 60, 47	⊢
	: , :
36	instantiation	68, 49, 48	⊢
	: , : , :
37	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_nonzero_within_real_nonzero
38	instantiation	68, 49, 50	⊢
	: , : , :
39	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
40	instantiation	68, 51, 52	⊢
	: , : , :
41	theorem		⊢
	proveit.logic.booleans.conjunction.any_from_and
42	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
43	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
44	instantiation	53	⊢
	: , :
45	assumption		⊢
46	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
47	instantiation	54, 55	⊢
	:
48	instantiation	68, 57, 56	⊢
	: , : , :
49	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nonzero_int_within_rational_nonzero
50	instantiation	68, 57, 58	⊢
	: , : , :
51	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
52	instantiation	68, 59, 60	⊢
	: , : , :
53	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
54	theorem		⊢
	proveit.numbers.negation.int_closure
55	instantiation	68, 66, 61	⊢
	: , : , :
56	instantiation	62, 67, 65	⊢
	: , :
57	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_nonzero_int
58	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
59	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
60	instantiation	63, 64, 65	⊢
	: , :
61	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
62	theorem		⊢
	proveit.numbers.exponentiation.exp_natpos_closure
63	theorem		⊢
	proveit.numbers.exponentiation.exp_int_closure
64	instantiation	68, 66, 67	⊢
	: , : , :
65	instantiation	68, 69, 70	⊢
	: , : , :
66	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
67	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
68	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
69	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nat_pos_within_nat
70	assumption		⊢
*equality replacement requirements