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.logic.equality.sub_right_side_into
2	instantiation	4, 6	⊢
	:
3	instantiation	5, 6, 7	⊢
	: , :
4	theorem		⊢
	proveit.numbers.addition.elim_zero_right
5	theorem		⊢
	proveit.numbers.addition.commutation
6	instantiation	25, 8, 9	⊢
	: , : , :
7	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.zero_is_complex
8	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
9	instantiation	10, 11	⊢
	:
10	theorem		⊢
	proveit.numbers.negation.real_closure
11	instantiation	12, 13, 14, 15	⊢
	: , :
12	theorem		⊢
	proveit.numbers.division.div_real_closure
13	instantiation	25, 17, 16	⊢
	: , : , :
14	instantiation	25, 17, 18	⊢
	: , : , :
15	instantiation	19, 20	⊢
	:
16	instantiation	25, 22, 21	⊢
	: , : , :
17	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
18	instantiation	25, 22, 23	⊢
	: , : , :
19	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
20	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
21	instantiation	25, 26, 24	⊢
	: , : , :
22	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
23	instantiation	25, 26, 27	⊢
	: , : , :
24	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
25	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
26	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
27	theorem		⊢
	proveit.numbers.numerals.decimals.nat2