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	34, 11, 10	⊢
	: , : , :
8	theorem		⊢
	proveit.numbers.multiplication.mult_zero_right
9	instantiation	34, 11, 12	⊢
	: , : , :
10	instantiation	34, 14, 13	⊢
	: , : , :
11	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
12	instantiation	34, 14, 15	⊢
	: , : , :
13	instantiation	16, 17, 18, 19	⊢
	: , :
14	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
15	instantiation	34, 20, 21	⊢
	: , : , :
16	theorem		⊢
	proveit.numbers.division.div_rational_closure
17	instantiation	34, 23, 22	⊢
	: , : , :
18	instantiation	34, 23, 24	⊢
	: , : , :
19	instantiation	25, 26	⊢
	:
20	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.rational_pos_within_rational
21	instantiation	27, 28, 29	⊢
	: , :
22	instantiation	34, 31, 30	⊢
	: , : , :
23	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
24	instantiation	34, 31, 32	⊢
	: , : , :
25	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
26	theorem		⊢
	proveit.numbers.numerals.decimals.posnat3
27	theorem		⊢
	proveit.numbers.division.div_rational_pos_closure
28	instantiation	34, 35, 33	⊢
	: , : , :
29	instantiation	34, 35, 36	⊢
	: , : , :
30	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
31	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
32	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
33	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
34	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
35	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nat_pos_within_rational_pos
36	theorem		⊢
	proveit.numbers.numerals.decimals.posnat6