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	⊢
	: , : , :
1	axiom		⊢
	proveit.logic.equality.substitution
2	instantiation	3, 4	⊢
	: , :
3	theorem		⊢
	proveit.logic.equality.equals_reversal
4	instantiation	5, 6, 7	⊢
	: , :
5	theorem		⊢
	proveit.numbers.negation.neg_times_pos
6	instantiation	8, 9, 10, 11	⊢
	: , :
7	instantiation	27, 14, 12	⊢
	: , : , :
8	theorem		⊢
	proveit.numbers.division.div_complex_closure
9	instantiation	27, 14, 13	⊢
	: , : , :
10	instantiation	27, 14, 15	⊢
	: , : , :
11	instantiation	16, 17	⊢
	:
12	instantiation	27, 18, 19	⊢
	: , : , :
13	instantiation	27, 21, 20	⊢
	: , : , :
14	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
15	instantiation	27, 21, 22	⊢
	: , : , :
16	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
17	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
18	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_neg_within_real
19	assumption		⊢
20	instantiation	27, 24, 23	⊢
	: , : , :
21	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
22	instantiation	27, 24, 25	⊢
	: , : , :
23	instantiation	27, 28, 26	⊢
	: , : , :
24	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
25	instantiation	27, 28, 29	⊢
	: , : , :
26	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
27	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
28	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
29	theorem		⊢
	proveit.numbers.numerals.decimals.nat2