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, 10	, , , ⊢
	: , : , : , : , : , :
1	theorem		⊢
	proveit.numbers.multiplication.disassociation
2	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
3	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
4	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
5	instantiation	11	⊢
	: , :
6	instantiation	11	⊢
	: , :
7	instantiation	12, 13, 14, 17, 15, 16	, , ⊢
	: , :
8	reference	15	⊢
9	instantiation	18, 17, 20	⊢
	: , :
10	instantiation	18, 19, 20	⊢
	: , :
11	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
12	theorem		⊢
	proveit.numbers.addition.add_complex_closure
13	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
14	instantiation	21	⊢
	: , : , :
15	assumption		⊢
16	assumption		⊢
17	assumption		⊢
18	theorem		⊢
	proveit.numbers.exponentiation.exp_complex_closure
19	assumption		⊢
20	instantiation	30, 22, 23	⊢
	: , : , :
21	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
22	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
23	instantiation	24, 25	⊢
	:
24	theorem		⊢
	proveit.numbers.negation.real_closure
25	instantiation	30, 26, 27	⊢
	: , : , :
26	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
27	instantiation	30, 28, 29	⊢
	: , : , :
28	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
29	instantiation	30, 31, 32	⊢
	: , : , :
30	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
31	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
32	theorem		⊢
	proveit.numbers.numerals.decimals.nat1