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*	⊢
	:
1	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.fold_forall_natural_pos
2	instantiation	4, 5, 6	⊢
	: , : , :
3	instantiation	7, 8	⊢
	:
4	axiom		⊢
	proveit.logic.equality.equals_transitivity
5	instantiation	9, 13, 12, 36, 15, 10, 16, 17	⊢
	: , : , : , : , : , :
6	instantiation	11, 36, 12, 13, 14, 15, 16, 17, 18*	⊢
	: , : , : , : , : , :
7	theorem		⊢
	proveit.logic.booleans.disjunction.unary_or_reduction
8	assumption		⊢
9	theorem		⊢
	proveit.numbers.addition.disassociation
10	instantiation	19	⊢
	: , :
11	theorem		⊢
	proveit.numbers.addition.association
12	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
13	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
14	instantiation	19	⊢
	: , :
15	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
16	instantiation	34, 21, 20	⊢
	: , : , :
17	instantiation	34, 21, 22	⊢
	: , : , :
18	theorem		⊢
	proveit.numbers.numerals.decimals.add_1_1
19	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
20	instantiation	23, 24, 25	⊢
	: , : , :
21	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
22	instantiation	34, 26, 27	⊢
	: , : , :
23	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
24	instantiation	28, 29	⊢
	: , :
25	instantiation	30, 31	⊢
	: , :
26	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
27	instantiation	34, 32, 33	⊢
	: , : , :
28	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
29	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
30	theorem		⊢
	proveit.logic.booleans.conjunction.left_from_and
31	assumption		⊢
32	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
33	instantiation	34, 35, 36	⊢
	: , : , :
34	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
35	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
36	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
*equality replacement requirements