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	19	⊢
2	instantiation	4, 34, 5, 6, 7	⊢
	: , : , :
3	instantiation	8, 9	⊢
	: , :
4	theorem		⊢
	proveit.logic.sets.enumeration.nonmembership_fold
5	instantiation	10	⊢
	: , :
6	instantiation	11, 12	⊢
	: , :
7	instantiation	17, 34, 13, 14	⊢
	: , :
8	theorem		⊢
	proveit.logic.equality.equals_reversal
9	instantiation	15, 16	⊢
	: , : , :
10	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
11	theorem		⊢
	proveit.logic.equality.not_equals_symmetry
12	instantiation	17, 37, 34, 18	⊢
	: , :
13	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
14	theorem		⊢
	proveit.numbers.numerals.decimals.less_2_3
15	axiom		⊢
	proveit.logic.equality.substitution
16	instantiation	19, 20, 21	⊢
	: , : , :
17	theorem		⊢
	proveit.numbers.ordering.less_is_not_eq_nat
18	theorem		⊢
	proveit.numbers.numerals.decimals.less_1_2
19	theorem		⊢
	proveit.logic.equality.sub_right_side_into
20	theorem		⊢
	proveit.numbers.numerals.decimals.add_2_1
21	instantiation	22, 23, 24	⊢
	: , :
22	theorem		⊢
	proveit.numbers.addition.commutation
23	instantiation	35, 26, 25	⊢
	: , : , :
24	instantiation	35, 26, 27	⊢
	: , : , :
25	instantiation	35, 29, 28	⊢
	: , : , :
26	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
27	instantiation	35, 29, 30	⊢
	: , : , :
28	instantiation	35, 32, 31	⊢
	: , : , :
29	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
30	instantiation	35, 32, 33	⊢
	: , : , :
31	instantiation	35, 36, 34	⊢
	: , : , :
32	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
33	instantiation	35, 36, 37	⊢
	: , : , :
34	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
35	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
36	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
37	theorem		⊢
	proveit.numbers.numerals.decimals.nat1