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	7, 8	, ⊢
	: , : , :
4	axiom		⊢
	proveit.logic.equality.equals_transitivity
5	instantiation	13, 9, 14, 10, 11, 12, 16, 15, 17, 25	, , , ⊢
	: , : , : , : , : , : , :
6	instantiation	13, 14, 15, 16, 17, 25	, , , ⊢
	: , : , : , : , : , : , :
7	axiom		⊢
	proveit.logic.equality.substitution
8	instantiation	18, 19	, ⊢
	: , :
9	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
10	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
11	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
12	instantiation	20	⊢
	: , :
13	theorem		⊢
	proveit.numbers.addition.leftward_commutation
14	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
15	instantiation	32, 29, 21	⊢
	: , : , :
16	instantiation	22, 26, 25	, ⊢
	: , :
17	instantiation	32, 29, 23	⊢
	: , : , :
18	theorem		⊢
	proveit.logic.equality.equals_reversal
19	instantiation	24, 25, 26	, ⊢
	: , :
20	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
21	instantiation	32, 33, 27	⊢
	: , : , :
22	theorem		⊢
	proveit.numbers.multiplication.mult_complex_closure_bin
23	assumption		⊢
24	theorem		⊢
	proveit.numbers.multiplication.commutation
25	instantiation	32, 29, 28	⊢
	: , : , :
26	instantiation	32, 29, 30	⊢
	: , : , :
27	assumption		⊢
28	instantiation	32, 33, 31	⊢
	: , : , :
29	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
30	instantiation	32, 33, 34	⊢
	: , : , :
31	assumption		⊢
32	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
33	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_neg_within_real
34	assumption		⊢