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.logic.equality.equals_reversal
2	instantiation	3, 4, 5	⊢
	: , : , :
3	theorem		⊢
	proveit.logic.equality.sub_right_side_into
4	instantiation	6, 7	⊢
	: , : , :
5	instantiation	8, 9, 10	⊢
	: , : , :
6	theorem		⊢
	proveit.core_expr_types.tuples.range_len
7	instantiation	11, 12, 13, 14, 15, 41	⊢
	: , :
8	axiom		⊢
	proveit.logic.equality.equals_transitivity
9	instantiation	16, 29	⊢
	: , : , :
10	instantiation	17, 41, 18, 19	⊢
	: , : , : , :
11	theorem		⊢
	proveit.numbers.addition.add_nat_closure
12	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
13	instantiation	20	⊢
	: , : , :
14	instantiation	39, 21, 32	⊢
	: , : , :
15	instantiation	30, 22, 23	⊢
	: , : , :
16	axiom		⊢
	proveit.logic.equality.substitution
17	theorem		⊢
	proveit.numbers.addition.elim_zero_any
18	instantiation	39, 25, 24	⊢
	: , : , :
19	instantiation	39, 25, 26	⊢
	: , : , :
20	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
21	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nat_pos_within_nat
22	instantiation	35, 27	⊢
	: , :
23	instantiation	28, 29	⊢
	: , :
24	instantiation	30, 31, 32	⊢
	: , : , :
25	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
26	instantiation	39, 33, 34	⊢
	: , : , :
27	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.zero_set_within_nat
28	theorem		⊢
	proveit.logic.sets.enumeration.fold_singleton
29	theorem		⊢
	proveit.numbers.negation.negated_zero
30	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
31	instantiation	35, 36	⊢
	: , :
32	assumption		⊢
33	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
34	instantiation	39, 37, 38	⊢
	: , : , :
35	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
36	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
37	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
38	instantiation	39, 40, 41	⊢
	: , : , :
39	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
40	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
41	theorem		⊢
	proveit.numbers.numerals.decimals.nat1