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	⊢
	: , : , :
1	reference	10	⊢
2	instantiation	3, 4, 5	⊢
	: , : , :
3	axiom		⊢
	proveit.logic.equality.equals_transitivity
4	instantiation	10, 6	⊢
	: , : , :
5	instantiation	7, 8, 9	⊢
	: , :
6	instantiation	10, 11	⊢
	: , : , :
7	theorem		⊢
	proveit.numbers.negation.distribute_neg_through_binary_sum
8	instantiation	24, 13, 12	⊢
	: , : , :
9	instantiation	24, 13, 14	⊢
	: , : , :
10	axiom		⊢
	proveit.logic.equality.substitution
11	instantiation	15, 16	⊢
	:
12	instantiation	24, 17, 21	⊢
	: , : , :
13	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
14	instantiation	24, 18, 19	⊢
	: , : , :
15	theorem		⊢
	proveit.numbers.absolute_value.abs_non_neg_elim
16	instantiation	20, 21	⊢
	:
17	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_nonneg_within_real
18	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
19	instantiation	24, 22, 23	⊢
	: , : , :
20	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nonneg_if_in_real_nonneg
21	assumption		⊢
22	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
23	instantiation	24, 25, 26	⊢
	: , : , :
24	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
25	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
26	theorem		⊢
	proveit.numbers.numerals.decimals.nat2