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, 4, 5, 6, 7^, 8^	⊢
	: , :
1	theorem		⊢
	proveit.numbers.absolute_value.abs_prod
2	theorem		⊢
	proveit.numbers.numerals.decimals.posnat3
3	instantiation	9	⊢
	: , : , :
4	instantiation	27, 12, 10	⊢
	: , : , :
5	instantiation	27, 12, 11	⊢
	: , : , :
6	instantiation	27, 12, 13	⊢
	: , : , :
7	instantiation	15, 14	⊢
	:
8	instantiation	15, 16	⊢
	:
9	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
10	instantiation	27, 17, 18	⊢
	: , : , :
11	instantiation	27, 19, 26	⊢
	: , : , :
12	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
13	assumption		⊢
14	instantiation	20, 29	⊢
	:
15	theorem		⊢
	proveit.numbers.absolute_value.abs_non_neg_elim
16	instantiation	21, 22	⊢
	: , :
17	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
18	instantiation	27, 23, 24	⊢
	: , : , :
19	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real
20	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.natural_lower_bound
21	theorem		⊢
	proveit.numbers.ordering.relax_less
22	instantiation	25, 26	⊢
	:
23	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
24	instantiation	27, 28, 29	⊢
	: , : , :
25	theorem		⊢
	proveit.numbers.number_sets.real_numbers.positive_if_in_real_pos
26	theorem		⊢
	proveit.numbers.number_sets.real_numbers.pi_is_real_pos
27	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
28	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
29	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
^*equality replacement requirements