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	, , , , , ⊢
	: , : , :
1	axiom		⊢
	proveit.logic.equality.equals_transitivity
2	instantiation	4, 9, 20, 5, 6, 7, 11, 21, 12, 13, 23	, , , , , ⊢
	: , : , : , : , : , : , :
3	instantiation	8, 20, 9, 10, 11, 21, 12, 23, 13, 14^*	, , , , , ⊢
	: , : , : , : , : , :
4	theorem		⊢
	proveit.numbers.multiplication.leftward_commutation
5	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
6	instantiation	15	⊢
	: , : , :
7	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
8	theorem		⊢
	proveit.numbers.multiplication.association
9	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
10	instantiation	15	⊢
	: , : , :
11	instantiation	32, 27, 16	⊢
	: , : , :
12	instantiation	17, 22, 18	, ⊢
	: , :
13	assumption		⊢
14	instantiation	19, 20, 21, 22, 26, 23	, , , ⊢
	: , : , : , : , : , :
15	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
16	instantiation	32, 30, 24	⊢
	: , : , :
17	theorem		⊢
	proveit.numbers.addition.add_complex_closure_bin
18	instantiation	25, 26	⊢
	:
19	theorem		⊢
	proveit.numbers.multiplication.distribute_through_subtract
20	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
21	instantiation	32, 27, 28	⊢
	: , : , :
22	assumption		⊢
23	assumption		⊢
24	instantiation	32, 33, 29	⊢
	: , : , :
25	theorem		⊢
	proveit.numbers.negation.complex_closure
26	assumption		⊢
27	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
28	instantiation	32, 30, 31	⊢
	: , : , :
29	assumption		⊢
30	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
31	instantiation	32, 33, 34	⊢
	: , : , :
32	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
33	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
34	assumption		⊢
^*equality replacement requirements