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	, ⊢
	: , : , :
1	axiom		⊢
	proveit.logic.equality.substitution
2	instantiation	3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13	, ⊢
	: , : , : , : , : , :
3	theorem		⊢
	proveit.numbers.multiplication.association
4	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
5	theorem		⊢
	proveit.numbers.numerals.decimals.nat4
6	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
7	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
8	instantiation	14	⊢
	: , : , : , :
9	instantiation	29, 18, 15	⊢
	: , : , :
10	instantiation	29, 18, 16	⊢
	: , : , :
11	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.i_is_complex
12	instantiation	29, 18, 17	⊢
	: , : , :
13	instantiation	29, 18, 19	⊢
	: , : , :
14	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_4_typical_eq
15	instantiation	29, 24, 20	⊢
	: , : , :
16	instantiation	29, 22, 21	⊢
	: , : , :
17	instantiation	29, 22, 23	⊢
	: , : , :
18	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
19	instantiation	29, 24, 25	⊢
	: , : , :
20	instantiation	29, 27, 26	⊢
	: , : , :
21	theorem		⊢
	proveit.numbers.number_sets.real_numbers.pi_is_real_pos
22	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real
23	assumption		⊢
24	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
25	instantiation	29, 27, 28	⊢
	: , : , :
26	instantiation	29, 30, 31	⊢
	: , : , :
27	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
28	assumption		⊢
29	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
30	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
31	theorem		⊢
	proveit.numbers.numerals.decimals.nat2