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	axiom		⊢
	proveit.logic.equality.equals_transitivity
2	instantiation	5, 4	⊢
	: , : , :
3	instantiation	5, 6	⊢
	: , : , :
4	instantiation	7, 8, 9, 10	⊢
	: , :
5	axiom		⊢
	proveit.logic.equality.substitution
6	instantiation	11, 12, 13, 14	⊢
	: , :
7	theorem		⊢
	proveit.numbers.division.neg_frac_neg_numerator
8	instantiation	36, 19, 15	⊢
	: , : , :
9	instantiation	36, 19, 16	⊢
	: , : , :
10	instantiation	21, 17	⊢
	:
11	theorem		⊢
	proveit.numbers.division.neg_frac_neg_denominator
12	instantiation	36, 19, 18	⊢
	: , : , :
13	instantiation	36, 19, 20	⊢
	: , : , :
14	instantiation	21, 22	⊢
	:
15	instantiation	36, 26, 23	⊢
	: , : , :
16	instantiation	36, 26, 24	⊢
	: , : , :
17	theorem		⊢
	proveit.numbers.numerals.decimals.posnat3
18	instantiation	36, 26, 25	⊢
	: , : , :
19	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
20	instantiation	36, 26, 27	⊢
	: , : , :
21	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
22	theorem		⊢
	proveit.numbers.numerals.decimals.posnat5
23	instantiation	36, 31, 28	⊢
	: , : , :
24	instantiation	36, 31, 29	⊢
	: , : , :
25	instantiation	36, 31, 30	⊢
	: , : , :
26	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
27	instantiation	36, 31, 32	⊢
	: , : , :
28	instantiation	36, 37, 33	⊢
	: , : , :
29	instantiation	36, 37, 34	⊢
	: , : , :
30	instantiation	36, 37, 35	⊢
	: , : , :
31	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
32	instantiation	36, 37, 38	⊢
	: , : , :
33	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
34	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
35	theorem		⊢
	proveit.numbers.numerals.decimals.nat6
36	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
37	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
38	theorem		⊢
	proveit.numbers.numerals.decimals.nat5