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