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	4, 5	⊢
	: , : , :
3	instantiation	6, 7	⊢
	:
4	axiom		⊢
	proveit.logic.equality.substitution
5	instantiation	8, 9	⊢
	:
6	theorem		⊢
	proveit.numbers.addition.elim_zero_left
7	instantiation	10, 11	⊢
	:
8	theorem		⊢
	proveit.numbers.multiplication.mult_zero_right
9	instantiation	36, 13, 12	⊢
	: , : , :
10	theorem		⊢
	proveit.numbers.negation.complex_closure
11	instantiation	36, 13, 14	⊢
	: , : , :
12	instantiation	36, 16, 15	⊢
	: , : , :
13	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
14	instantiation	36, 16, 17	⊢
	: , : , :
15	instantiation	36, 18, 19	⊢
	: , : , :
16	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
17	instantiation	20, 21, 22, 23	⊢
	: , :
18	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.rational_pos_within_rational
19	instantiation	24, 25, 26	⊢
	: , :
20	theorem		⊢
	proveit.numbers.division.div_rational_closure
21	instantiation	36, 28, 27	⊢
	: , : , :
22	instantiation	36, 28, 29	⊢
	: , : , :
23	instantiation	30, 31	⊢
	:
24	theorem		⊢
	proveit.numbers.division.div_rational_pos_closure
25	instantiation	36, 33, 32	⊢
	: , : , :
26	instantiation	36, 33, 34	⊢
	: , : , :
27	instantiation	36, 37, 35	⊢
	: , : , :
28	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
29	instantiation	36, 37, 38	⊢
	: , : , :
30	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
31	theorem		⊢
	proveit.numbers.numerals.decimals.posnat3
32	theorem		⊢
	proveit.numbers.numerals.decimals.posnat5
33	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nat_pos_within_rational_pos
34	theorem		⊢
	proveit.numbers.numerals.decimals.posnat6
35	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
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.nat3