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	theorem		⊢
	proveit.numbers.exponentiation.exp_complex_closure
2	instantiation	36, 28, 4	⊢
	: , : , :
3	instantiation	5, 6, 7	⊢
	: , : , :
4	instantiation	36, 32, 8	⊢
	: , : , :
5	theorem		⊢
	proveit.logic.equality.sub_right_side_into
6	instantiation	22, 14, 9	⊢
	: , :
7	instantiation	10, 11, 12	⊢
	: , : , :
8	theorem		⊢
	proveit.numbers.number_sets.real_numbers.e_is_real_pos
9	instantiation	22, 20, 21	⊢
	: , :
10	axiom		⊢
	proveit.logic.equality.equals_transitivity
11	instantiation	15, 13, 38, 16, 19, 17, 14, 20, 21	⊢
	: , : , : , : , : , :
12	instantiation	15, 16, 38, 17, 18, 19, 23, 24, 20, 21	⊢
	: , : , : , : , : , :
13	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
14	instantiation	22, 23, 24	⊢
	: , :
15	theorem		⊢
	proveit.numbers.multiplication.disassociation
16	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
17	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
18	instantiation	25	⊢
	: , :
19	instantiation	25	⊢
	: , :
20	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.i_is_complex
21	instantiation	36, 28, 26	⊢
	: , : , :
22	theorem		⊢
	proveit.numbers.multiplication.mult_complex_closure_bin
23	instantiation	36, 28, 27	⊢
	: , : , :
24	instantiation	36, 28, 29	⊢
	: , : , :
25	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
26	assumption		⊢
27	instantiation	36, 30, 31	⊢
	: , : , :
28	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
29	instantiation	36, 32, 33	⊢
	: , : , :
30	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
31	instantiation	36, 34, 35	⊢
	: , : , :
32	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real
33	theorem		⊢
	proveit.numbers.number_sets.real_numbers.pi_is_real_pos
34	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
35	instantiation	36, 37, 38	⊢
	: , : , :
36	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
37	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
38	theorem		⊢
	proveit.numbers.numerals.decimals.nat2