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	reference	23	⊢
2	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
3	instantiation	9, 4	⊢
	:
4	instantiation	5, 6, 7, 8	⊢
	: , : , :
5	theorem		⊢
	proveit.numbers.number_sets.real_numbers.all_in_interval_oo__is__real
6	instantiation	9, 10	⊢
	:
7	theorem		⊢
	proveit.numbers.number_sets.real_numbers.zero_is_real
8	assumption		⊢
9	theorem		⊢
	proveit.numbers.negation.real_closure
10	instantiation	11, 12, 13, 14	⊢
	: , :
11	theorem		⊢
	proveit.numbers.division.div_real_closure
12	instantiation	23, 15, 16	⊢
	: , : , :
13	instantiation	23, 17, 18	⊢
	: , : , :
14	instantiation	19, 20	⊢
	:
15	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real
16	theorem		⊢
	proveit.numbers.number_sets.real_numbers.pi_is_real_pos
17	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
18	instantiation	23, 21, 22	⊢
	: , : , :
19	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
20	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
21	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
22	instantiation	23, 24, 25	⊢
	: , : , :
23	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
24	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
25	theorem		⊢
	proveit.numbers.numerals.decimals.nat2