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	theorem		⊢
	proveit.core_expr_types.tuples.range_len
2	instantiation	3, 4, 5, 6, 7, 42	⊢
	: , :
3	theorem		⊢
	proveit.numbers.addition.add_nat_closure
4	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
5	instantiation	8	⊢
	: , : , :
6	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
7	instantiation	9, 10	⊢
	:
8	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
9	theorem		⊢
	proveit.numbers.negation.nat_closure
10	instantiation	11, 12, 13	⊢
	:
11	theorem		⊢
	proveit.numbers.number_sets.integers.nonpos_int_is_int_nonpos
12	instantiation	14, 38, 36	⊢
	: , :
13	instantiation	15, 27, 26, 29, 16, 17*, 18*	⊢
	: , : , :
14	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
15	theorem		⊢
	proveit.numbers.addition.weak_bound_via_left_term_bound
16	instantiation	19, 47	⊢
	:
17	instantiation	20, 21, 22	⊢
	: , :
18	instantiation	23, 24, 25	⊢
	: , :
19	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.natural_pos_lower_bound
20	theorem		⊢
	proveit.numbers.addition.commutation
21	instantiation	45, 28, 26	⊢
	: , : , :
22	instantiation	45, 28, 27	⊢
	: , : , :
23	theorem		⊢
	proveit.numbers.addition.subtraction.add_cancel_basic
24	instantiation	45, 28, 29	⊢
	: , : , :
25	instantiation	30	⊢
	:
26	instantiation	45, 32, 31	⊢
	: , : , :
27	instantiation	45, 32, 33	⊢
	: , : , :
28	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
29	instantiation	34, 35, 47	⊢
	: , : , :
30	axiom		⊢
	proveit.logic.equality.equals_reflexivity
31	instantiation	45, 37, 36	⊢
	: , : , :
32	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
33	instantiation	45, 37, 38	⊢
	: , : , :
34	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
35	instantiation	39, 40	⊢
	: , :
36	instantiation	45, 41, 42	⊢
	: , : , :
37	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
38	instantiation	43, 44	⊢
	:
39	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
40	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
41	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
42	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
43	theorem		⊢
	proveit.numbers.negation.int_closure
44	instantiation	45, 46, 47	⊢
	: , : , :
45	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
46	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
47	assumption		⊢
*equality replacement requirements