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