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	4, 8, 6, 9, 11, 13, 12	, , ⊢
	: , : , : , : , : , : , :
3	instantiation	5, 6, 7, 8, 9, 10, 11, 12, 13	, , ⊢
	: , : , : , : , : , :
4	theorem		⊢
	proveit.numbers.multiplication.rightward_commutation
5	theorem		⊢
	proveit.numbers.multiplication.association
6	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
7	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
8	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
9	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
10	instantiation	14	⊢
	: , :
11	instantiation	28, 29, 15	⊢
	: , : , :
12	instantiation	28, 29, 16	⊢
	: , : , :
13	instantiation	17, 18, 19	⊢
	: , :
14	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
15	instantiation	28, 26, 20	⊢
	: , : , :
16	instantiation	28, 26, 21	⊢
	: , : , :
17	theorem		⊢
	proveit.numbers.exponentiation.exp_complex_closure
18	instantiation	28, 29, 22	⊢
	: , : , :
19	instantiation	23, 24, 25	⊢
	: , :
20	assumption		⊢
21	assumption		⊢
22	instantiation	28, 26, 27	⊢
	: , : , :
23	theorem		⊢
	proveit.numbers.multiplication.mult_complex_closure_bin
24	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.i_is_complex
25	instantiation	28, 29, 30	⊢
	: , : , :
26	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real
27	theorem		⊢
	proveit.numbers.number_sets.real_numbers.e_is_real_pos
28	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
29	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
30	assumption		⊢