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	21	⊢
2	instantiation	21, 4, 5	⊢
	: , :
3	instantiation	6, 7, 8	, ⊢
	: , : , :
4	instantiation	35, 27, 9	⊢
	: , : , :
5	instantiation	35, 27, 10	⊢
	: , : , :
6	theorem		⊢
	proveit.logic.equality.sub_right_side_into
7	instantiation	21, 11, 17	, ⊢
	: , :
8	instantiation	12, 13, 31, 14, 15, 16, 22, 23, 17	, ⊢
	: , : , : , : , : , :
9	instantiation	35, 32, 18	⊢
	: , : , :
10	instantiation	35, 19, 20	⊢
	: , : , :
11	instantiation	21, 22, 23	⊢
	: , :
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	24	⊢
	: , :
17	instantiation	35, 27, 25	⊢
	: , : , :
18	instantiation	35, 36, 26	⊢
	: , : , :
19	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real
20	theorem		⊢
	proveit.numbers.number_sets.real_numbers.pi_is_real_pos
21	theorem		⊢
	proveit.numbers.multiplication.mult_complex_closure_bin
22	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.i_is_complex
23	instantiation	35, 27, 28	⊢
	: , : , :
24	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
25	instantiation	35, 32, 29	⊢
	: , : , :
26	instantiation	35, 30, 31	⊢
	: , : , :
27	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
28	instantiation	35, 32, 33	⊢
	: , : , :
29	instantiation	35, 36, 34	⊢
	: , : , :
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.rational_within_real
33	instantiation	35, 36, 37	⊢
	: , : , :
34	assumption		⊢
35	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
36	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
37	assumption		⊢