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