Show the Proof¶

In [1]:

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

Out[1]:

	step type	requirements	statement
0	instantiation	1, 2, 3	⊢
	:
1	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nonpos_real_is_real_nonpos
2	instantiation	4, 8, 9, 10	⊢
	: , : , :
3	instantiation	5, 6	⊢
	: , :
4	theorem		⊢
	proveit.numbers.number_sets.real_numbers.all_in_interval_oo__is__real
5	theorem		⊢
	proveit.numbers.ordering.relax_less
6	instantiation	7, 8, 9, 10	⊢
	: , : , :
7	theorem		⊢
	proveit.numbers.number_sets.real_numbers.interval_oo_upper_bound
8	instantiation	11, 12	⊢
	:
9	theorem		⊢
	proveit.numbers.number_sets.real_numbers.zero_is_real
10	assumption		⊢
11	theorem		⊢
	proveit.numbers.negation.real_closure
12	instantiation	13, 14, 15, 16	⊢
	: , :
13	theorem		⊢
	proveit.numbers.division.div_real_closure
14	instantiation	25, 17, 18	⊢
	: , : , :
15	instantiation	25, 19, 20	⊢
	: , : , :
16	instantiation	21, 22	⊢
	:
17	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real
18	theorem		⊢
	proveit.numbers.number_sets.real_numbers.pi_is_real_pos
19	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
20	instantiation	25, 23, 24	⊢
	: , : , :
21	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
22	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
23	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
24	instantiation	25, 26, 27	⊢
	: , : , :
25	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
26	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
27	theorem		⊢
	proveit.numbers.numerals.decimals.nat2