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	generalization	1	⊢
1	instantiation	2, 3, 4, 5, 6	⊢
	: , : , :
2	theorem		⊢
	proveit.numbers.number_sets.real_numbers.in_IntervalCO
3	theorem		⊢
	proveit.numbers.number_sets.real_numbers.zero_is_real
4	instantiation	22, 20, 7	⊢
	: , : , :
5	instantiation	8, 26, 9	⊢
	: , :
6	instantiation	10, 11, 12	⊢
	: , :
7	instantiation	22, 23, 13	⊢
	: , : , :
8	theorem		⊢
	proveit.numbers.addition.add_real_closure_bin
9	instantiation	14, 15	⊢
	:
10	theorem		⊢
	proveit.logic.booleans.conjunction.and_if_both
11	instantiation	16, 26	⊢
	:
12	instantiation	17, 26	⊢
	:
13	instantiation	22, 18, 19	⊢
	: , : , :
14	theorem		⊢
	proveit.numbers.negation.real_closure
15	instantiation	22, 20, 21	⊢
	: , : , :
16	theorem		⊢
	proveit.numbers.rounding.real_minus_floor_lower_bound
17	theorem		⊢
	proveit.numbers.rounding.real_minus_floor_upper_bound
18	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
19	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
20	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
21	instantiation	22, 23, 24	⊢
	: , : , :
22	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
23	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
24	instantiation	25, 26	⊢
	:
25	axiom		⊢
	proveit.numbers.rounding.floor_is_an_int
26	assumption		⊢