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*	⊢
	: , : , :
1	theorem		⊢
	proveit.numbers.addition.weak_bound_via_left_term_bound
2	reference	16	⊢
3	theorem		⊢
	proveit.numbers.number_sets.real_numbers.zero_is_real
4	instantiation	7, 8, 10	⊢
	: , : , :
5	instantiation	9, 10	⊢
	:
6	instantiation	11, 12	⊢
	:
7	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
8	instantiation	13, 14	⊢
	: , :
9	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.natural_lower_bound
10	assumption		⊢
11	theorem		⊢
	proveit.numbers.addition.elim_zero_left
12	instantiation	21, 15, 16	⊢
	: , : , :
13	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
14	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_within_real
15	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
16	instantiation	21, 17, 18	⊢
	: , : , :
17	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
18	instantiation	21, 19, 20	⊢
	: , : , :
19	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
20	instantiation	21, 22, 23	⊢
	: , : , :
21	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
22	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
23	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
*equality replacement requirements