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.disassociation
2	reference	33	⊢
3	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
4	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
5	instantiation	10	⊢
	: , :
6	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
7	instantiation	11, 12, 20	, , ⊢
	: , :
8	instantiation	13, 19, 15	⊢
	: , :
9	instantiation	13, 14, 15	⊢
	: , :
10	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
11	theorem		⊢
	proveit.numbers.multiplication.mult_complex_closure_bin
12	instantiation	16, 17, 18, 19, 20, 21	, , ⊢
	: , :
13	theorem		⊢
	proveit.numbers.exponentiation.exp_complex_closure
14	assumption		⊢
15	instantiation	31, 22, 23	⊢
	: , : , :
16	theorem		⊢
	proveit.numbers.addition.add_complex_closure
17	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
18	instantiation	24	⊢
	: , : , :
19	assumption		⊢
20	assumption		⊢
21	assumption		⊢
22	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
23	instantiation	25, 26	⊢
	:
24	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
25	theorem		⊢
	proveit.numbers.negation.real_closure
26	instantiation	31, 27, 28	⊢
	: , : , :
27	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
28	instantiation	31, 29, 30	⊢
	: , : , :
29	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
30	instantiation	31, 32, 33	⊢
	: , : , :
31	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
32	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
33	theorem		⊢
	proveit.numbers.numerals.decimals.nat1