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	8, 4	⊢
	: , : , :
3	instantiation	5, 6, 7	⊢
	: , :
4	instantiation	8, 9	⊢
	: , : , :
5	theorem		⊢
	proveit.numbers.negation.distribute_neg_through_binary_sum
6	instantiation	24, 11, 10	⊢
	: , : , :
7	instantiation	24, 11, 12	⊢
	: , : , :
8	axiom		⊢
	proveit.logic.equality.substitution
9	instantiation	13, 14	⊢
	:
10	instantiation	24, 15, 23	⊢
	: , : , :
11	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
12	instantiation	24, 16, 17	⊢
	: , : , :
13	theorem		⊢
	proveit.numbers.absolute_value.abs_non_neg_elim
14	instantiation	18, 19	⊢
	: , :
15	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real
16	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
17	instantiation	24, 20, 21	⊢
	: , : , :
18	theorem		⊢
	proveit.numbers.ordering.relax_less
19	instantiation	22, 23	⊢
	:
20	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
21	instantiation	24, 25, 26	⊢
	: , : , :
22	theorem		⊢
	proveit.numbers.number_sets.real_numbers.positive_if_in_real_pos
23	assumption		⊢
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