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, 4^*	⊢
	: , :
1	theorem		⊢
	proveit.numbers.multiplication.mult_neg_left
2	instantiation	5, 9, 6, 7	⊢
	: , :
3	instantiation	5, 10, 6, 7	⊢
	: , :
4	instantiation	8, 9, 10, 11, 12^, 13^	⊢
	: , : , : , :
5	theorem		⊢
	proveit.numbers.division.div_complex_closure
6	instantiation	37, 17, 14	⊢
	: , : , :
7	instantiation	15, 39	⊢
	:
8	theorem		⊢
	proveit.numbers.division.prod_of_fracs
9	instantiation	37, 17, 16	⊢
	: , : , :
10	instantiation	37, 17, 18	⊢
	: , : , :
11	instantiation	37, 19, 20	⊢
	: , : , :
12	theorem		⊢
	proveit.numbers.numerals.decimals.mult_2_5
13	theorem		⊢
	proveit.numbers.numerals.decimals.mult_3_3
14	instantiation	37, 23, 21	⊢
	: , : , :
15	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
16	instantiation	37, 23, 22	⊢
	: , : , :
17	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
18	instantiation	37, 23, 24	⊢
	: , : , :
19	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_nonzero_within_complex_nonzero
20	instantiation	37, 25, 26	⊢
	: , : , :
21	instantiation	37, 29, 27	⊢
	: , : , :
22	instantiation	37, 29, 28	⊢
	: , : , :
23	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
24	instantiation	37, 29, 30	⊢
	: , : , :
25	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_nonzero_within_real_nonzero
26	instantiation	37, 31, 32	⊢
	: , : , :
27	instantiation	37, 35, 33	⊢
	: , : , :
28	instantiation	37, 35, 34	⊢
	: , : , :
29	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
30	instantiation	37, 35, 36	⊢
	: , : , :
31	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nonzero_int_within_rational_nonzero
32	instantiation	37, 38, 39	⊢
	: , : , :
33	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
34	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
35	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
36	theorem		⊢
	proveit.numbers.numerals.decimals.nat5
37	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
38	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_nonzero_int
39	theorem		⊢
	proveit.numbers.numerals.decimals.posnat3
^*equality replacement requirements