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, 9	, , , ⊢
	: , : , : , : , : , :
1	theorem		⊢
	proveit.numbers.multiplication.disassociation
2	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
3	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
4	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
5	instantiation	10	⊢
	: , :
6	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
7	instantiation	30, 13, 11	, ⊢
	: , : , :
8	instantiation	30, 13, 12	⊢
	: , : , :
9	instantiation	30, 13, 14	⊢
	: , : , :
10	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
11	instantiation	30, 15, 16	, ⊢
	: , : , :
12	instantiation	30, 17, 18	⊢
	: , : , :
13	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
14	instantiation	30, 19, 20	⊢
	: , : , :
15	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_neg_within_real
16	instantiation	21, 22, 23	, ⊢
	: , :
17	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
18	instantiation	30, 24, 25	⊢
	: , : , :
19	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real
20	assumption		⊢
21	theorem		⊢
	proveit.numbers.multiplication.mult_real_neg_from_left_neg
22	instantiation	30, 26, 27	⊢
	: , : , :
23	instantiation	30, 28, 29	⊢
	: , : , :
24	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.rational_neg_within_rational
25	assumption		⊢
26	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_neg_within_real_neg
27	assumption		⊢
28	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_pos_within_real_pos
29	instantiation	30, 31, 32	⊢
	: , : , :
30	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
31	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nat_pos_within_rational_pos
32	assumption		⊢