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	7	⊢
2	instantiation	4, 14, 13, 5	⊢
	: , : , :
3	instantiation	12, 13, 6	⊢
	: , :
4	theorem		⊢
	proveit.numbers.addition.subtraction.subtract_from_add
5	instantiation	7, 8, 9	⊢
	: , : , :
6	instantiation	29, 17, 10	⊢
	: , : , :
7	theorem		⊢
	proveit.logic.equality.sub_right_side_into
8	instantiation	11, 13	⊢
	:
9	instantiation	12, 13, 14	⊢
	: , :
10	instantiation	29, 15, 16	⊢
	: , : , :
11	theorem		⊢
	proveit.numbers.addition.elim_zero_right
12	theorem		⊢
	proveit.numbers.addition.commutation
13	instantiation	29, 17, 18	⊢
	: , : , :
14	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.zero_is_complex
15	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_neg_within_real
16	instantiation	29, 19, 20	⊢
	: , : , :
17	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
18	instantiation	29, 21, 22	⊢
	: , : , :
19	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_neg_within_real_neg
20	instantiation	29, 23, 24	⊢
	: , : , :
21	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
22	instantiation	29, 25, 26	⊢
	: , : , :
23	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.neg_int_within_rational_neg
24	instantiation	27, 28	⊢
	:
25	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
26	instantiation	29, 30, 31	⊢
	: , : , :
27	theorem		⊢
	proveit.numbers.negation.int_neg_closure
28	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
29	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
30	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
31	theorem		⊢
	proveit.numbers.numerals.decimals.nat1