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	axiom		⊢
	proveit.logic.equality.substitution
2	instantiation	3, 27, 4, 5, 6, 7, 8, 9, 10, 11	⊢
	: , : , : , : , : , : , :
3	theorem		⊢
	proveit.numbers.multiplication.leftward_commutation
4	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
5	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
6	instantiation	12	⊢
	: , :
7	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
8	instantiation	25, 15, 13	⊢
	: , : , :
9	instantiation	25, 15, 14	⊢
	: , : , :
10	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.i_is_complex
11	instantiation	25, 15, 16	⊢
	: , : , :
12	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
13	instantiation	25, 20, 17	⊢
	: , : , :
14	instantiation	25, 18, 19	⊢
	: , : , :
15	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
16	instantiation	25, 20, 21	⊢
	: , : , :
17	instantiation	25, 23, 22	⊢
	: , : , :
18	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real
19	theorem		⊢
	proveit.numbers.number_sets.real_numbers.pi_is_real_pos
20	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
21	instantiation	25, 23, 24	⊢
	: , : , :
22	instantiation	25, 26, 27	⊢
	: , : , :
23	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
24	assumption		⊢
25	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
26	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
27	theorem		⊢
	proveit.numbers.numerals.decimals.nat2