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	reference	4	⊢
2	instantiation	4, 5, 6	⊢
	: , : , :
3	instantiation	13, 14, 37, 15, 16, 17, 18, 19, 7	⊢
	: , : , : , : , : , :
4	theorem		⊢
	proveit.logic.equality.sub_right_side_into
5	assumption		⊢
6	instantiation	8, 9, 10	⊢
	: , : , :
7	instantiation	39, 25, 11	⊢
	: , : , :
8	axiom		⊢
	proveit.logic.equality.equals_transitivity
9	instantiation	12, 15, 14, 16, 18, 20, 19	⊢
	: , : , : , : , : , : , :
10	instantiation	13, 14, 37, 15, 16, 17, 18, 19, 20	⊢
	: , : , : , : , : , :
11	instantiation	39, 30, 21	⊢
	: , : , :
12	theorem		⊢
	proveit.numbers.multiplication.leftward_commutation
13	theorem		⊢
	proveit.numbers.multiplication.association
14	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
15	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
16	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
17	instantiation	22	⊢
	: , :
18	instantiation	39, 25, 23	⊢
	: , : , :
19	instantiation	39, 25, 24	⊢
	: , : , :
20	instantiation	39, 25, 26	⊢
	: , : , :
21	instantiation	39, 35, 27	⊢
	: , : , :
22	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
23	instantiation	39, 30, 28	⊢
	: , : , :
24	instantiation	39, 30, 29	⊢
	: , : , :
25	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
26	instantiation	39, 30, 31	⊢
	: , : , :
27	instantiation	39, 40, 32	⊢
	: , : , :
28	instantiation	39, 35, 33	⊢
	: , : , :
29	instantiation	39, 35, 34	⊢
	: , : , :
30	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
31	instantiation	39, 35, 36	⊢
	: , : , :
32	theorem		⊢
	proveit.numbers.numerals.decimals.nat5
33	instantiation	39, 40, 37	⊢
	: , : , :
34	instantiation	39, 40, 38	⊢
	: , : , :
35	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
36	instantiation	39, 40, 41	⊢
	: , : , :
37	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
38	theorem		⊢
	proveit.numbers.numerals.decimals.nat4
39	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
40	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
41	theorem		⊢
	proveit.numbers.numerals.decimals.nat3