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	theorem		⊢
	proveit.numbers.absolute_value.abs_neg_elim
2	instantiation	4, 5	⊢
	:
3	instantiation	6, 7, 8, 9^*	⊢
	: , :
4	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nonpos_if_in_real_nonpos
5	instantiation	33, 10, 11	⊢
	: , : , :
6	theorem		⊢
	proveit.numbers.negation.distribute_neg_through_subtract
7	instantiation	33, 22, 12	⊢
	: , : , :
8	instantiation	33, 22, 13	⊢
	: , : , :
9	instantiation	14, 15	⊢
	:
10	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_neg_within_real_nonpos
11	instantiation	16, 19, 17	⊢
	: , :
12	instantiation	33, 18, 19	⊢
	: , : , :
13	instantiation	33, 20, 21	⊢
	: , : , :
14	theorem		⊢
	proveit.numbers.negation.double_negation
15	instantiation	33, 22, 23	⊢
	: , : , :
16	theorem		⊢
	proveit.numbers.addition.add_real_neg_closure_bin
17	instantiation	33, 24, 25	⊢
	: , : , :
18	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_neg_within_real
19	instantiation	26, 30	⊢
	:
20	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
21	instantiation	33, 27, 28	⊢
	: , : , :
22	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
23	instantiation	33, 29, 30	⊢
	: , : , :
24	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_neg_within_real_neg
25	instantiation	33, 31, 32	⊢
	: , : , :
26	theorem		⊢
	proveit.numbers.negation.real_neg_closure
27	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
28	instantiation	33, 34, 35	⊢
	: , : , :
29	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real
30	assumption		⊢
31	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.neg_int_within_rational_neg
32	instantiation	36, 37	⊢
	:
33	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
34	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
35	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
36	theorem		⊢
	proveit.numbers.negation.int_neg_closure
37	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
^*equality replacement requirements