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	theorem		⊢
	proveit.logic.equality.sub_right_side_into
2	instantiation	17, 9, 4	⊢
	: , :
3	instantiation	5, 6, 7	⊢
	: , : , :
4	instantiation	17, 15, 16	⊢
	: , :
5	axiom		⊢
	proveit.logic.equality.equals_transitivity
6	instantiation	10, 8, 33, 11, 14, 12, 9, 15, 16	⊢
	: , : , : , : , : , :
7	instantiation	10, 11, 33, 12, 13, 14, 18, 19, 15, 16	⊢
	: , : , : , : , : , :
8	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
9	instantiation	17, 18, 19	⊢
	: , :
10	theorem		⊢
	proveit.numbers.multiplication.disassociation
11	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
12	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
13	instantiation	20	⊢
	: , :
14	instantiation	20	⊢
	: , :
15	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.i_is_complex
16	instantiation	31, 23, 21	⊢
	: , : , :
17	theorem		⊢
	proveit.numbers.multiplication.mult_complex_closure_bin
18	instantiation	31, 23, 22	⊢
	: , : , :
19	instantiation	31, 23, 24	⊢
	: , : , :
20	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
21	assumption		⊢
22	instantiation	31, 25, 26	⊢
	: , : , :
23	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
24	instantiation	31, 27, 28	⊢
	: , : , :
25	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
26	instantiation	31, 29, 30	⊢
	: , : , :
27	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real
28	theorem		⊢
	proveit.numbers.number_sets.real_numbers.pi_is_real_pos
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.nat2