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, 5, 6, 7, 8, 9	, , , ⊢
	: , : , : , : , : , : , :
1	theorem		⊢
	proveit.numbers.multiplication.leftward_commutation
2	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
3	reference	11	⊢
4	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
5	instantiation	19	⊢
	: , : , :
6	instantiation	10, 11, 12, 15, 13, 14	, , ⊢
	: , :
7	reference	13	⊢
8	instantiation	16, 15, 18	⊢
	: , :
9	instantiation	16, 17, 18	⊢
	: , :
10	theorem		⊢
	proveit.numbers.addition.add_complex_closure
11	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
12	instantiation	19	⊢
	: , : , :
13	assumption		⊢
14	assumption		⊢
15	assumption		⊢
16	theorem		⊢
	proveit.numbers.exponentiation.exp_complex_closure
17	assumption		⊢
18	instantiation	28, 20, 21	⊢
	: , : , :
19	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
20	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
21	instantiation	22, 23	⊢
	:
22	theorem		⊢
	proveit.numbers.negation.real_closure
23	instantiation	28, 24, 25	⊢
	: , : , :
24	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
25	instantiation	28, 26, 27	⊢
	: , : , :
26	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
27	instantiation	28, 29, 30	⊢
	: , : , :
28	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
29	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
30	theorem		⊢
	proveit.numbers.numerals.decimals.nat1