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	theorem		⊢
	proveit.logic.equality.equals_reversal
2	instantiation	3, 4, 21, 5, 6^*	, , , ⊢
	: , :
3	theorem		⊢
	proveit.numbers.division.div_as_mult
4	instantiation	7, 8, 9	, ⊢
	: , : , :
5	assumption		⊢
6	instantiation	14, 15, 10, 41, 16, 11, 24, 25, 18, 12	, , ⊢
	: , : , : , : , : , :
7	theorem		⊢
	proveit.logic.equality.sub_right_side_into
8	instantiation	23, 13, 18	, ⊢
	: , :
9	instantiation	14, 15, 38, 41, 16, 17, 24, 25, 18	, ⊢
	: , : , : , : , : , :
10	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
11	instantiation	19	⊢
	: , : , :
12	instantiation	20, 21, 22	⊢
	: , :
13	instantiation	23, 24, 25	⊢
	: , :
14	theorem		⊢
	proveit.numbers.multiplication.disassociation
15	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
16	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
17	instantiation	26	⊢
	: , :
18	assumption		⊢
19	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
20	theorem		⊢
	proveit.numbers.exponentiation.exp_complex_closure
21	assumption		⊢
22	instantiation	39, 28, 27	⊢
	: , : , :
23	theorem		⊢
	proveit.numbers.multiplication.mult_complex_closure_bin
24	instantiation	39, 28, 29	⊢
	: , : , :
25	assumption		⊢
26	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
27	instantiation	30, 31	⊢
	:
28	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
29	instantiation	39, 33, 32	⊢
	: , : , :
30	theorem		⊢
	proveit.numbers.negation.real_closure
31	instantiation	39, 33, 34	⊢
	: , : , :
32	instantiation	39, 36, 35	⊢
	: , : , :
33	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
34	instantiation	39, 36, 37	⊢
	: , : , :
35	instantiation	39, 40, 38	⊢
	: , : , :
36	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
37	instantiation	39, 40, 41	⊢
	: , : , :
38	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
39	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
40	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
41	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
^*equality replacement requirements