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, 4	⊢
	: , :
1	theorem		⊢
	proveit.numbers.exponentiation.exp_not_eq_zero
2	instantiation	42, 32, 5	⊢
	: , : , :
3	instantiation	6, 7, 8	⊢
	: , : , :
4	instantiation	9, 10	⊢
	:
5	instantiation	42, 37, 16	⊢
	: , : , :
6	theorem		⊢
	proveit.logic.equality.sub_right_side_into
7	instantiation	26, 18, 11	⊢
	: , :
8	instantiation	12, 13, 14	⊢
	: , : , :
9	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nonzero_if_in_real_nonzero
10	instantiation	42, 15, 16	⊢
	: , : , :
11	instantiation	26, 24, 25	⊢
	: , :
12	axiom		⊢
	proveit.logic.equality.equals_transitivity
13	instantiation	19, 17, 44, 20, 23, 21, 18, 24, 25	⊢
	: , : , : , : , : , :
14	instantiation	19, 20, 44, 21, 22, 23, 27, 28, 24, 25	⊢
	: , : , : , : , : , :
15	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real_nonzero
16	theorem		⊢
	proveit.numbers.number_sets.real_numbers.e_is_real_pos
17	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
18	instantiation	26, 27, 28	⊢
	: , :
19	theorem		⊢
	proveit.numbers.multiplication.disassociation
20	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
21	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
22	instantiation	29	⊢
	: , :
23	instantiation	29	⊢
	: , :
24	instantiation	42, 32, 30	⊢
	: , : , :
25	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.i_is_complex
26	theorem		⊢
	proveit.numbers.multiplication.mult_complex_closure_bin
27	instantiation	42, 32, 31	⊢
	: , : , :
28	instantiation	42, 32, 33	⊢
	: , : , :
29	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
30	instantiation	42, 35, 34	⊢
	: , : , :
31	instantiation	42, 35, 36	⊢
	: , : , :
32	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
33	instantiation	42, 37, 38	⊢
	: , : , :
34	instantiation	42, 40, 39	⊢
	: , : , :
35	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
36	instantiation	42, 40, 41	⊢
	: , : , :
37	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real
38	theorem		⊢
	proveit.numbers.number_sets.real_numbers.pi_is_real_pos
39	assumption		⊢
40	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
41	instantiation	42, 43, 44	⊢
	: , : , :
42	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
43	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
44	theorem		⊢
	proveit.numbers.numerals.decimals.nat2