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	13, 4, 18	⊢
	: , :
3	instantiation	5, 6, 27, 7, 8, 9, 10, 11, 12	⊢
	: , : , : , : , : , :
4	instantiation	13, 15, 16	⊢
	: , :
5	theorem		⊢
	proveit.numbers.multiplication.disassociation
6	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
7	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
8	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
9	instantiation	14	⊢
	: , :
10	instantiation	25, 17, 15	⊢
	: , : , :
11	instantiation	25, 17, 16	⊢
	: , : , :
12	instantiation	25, 17, 18	⊢
	: , : , :
13	theorem		⊢
	proveit.numbers.multiplication.mult_real_closure_bin
14	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
15	instantiation	25, 19, 20	⊢
	: , : , :
16	instantiation	25, 21, 22	⊢
	: , : , :
17	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
18	assumption		⊢
19	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
20	instantiation	25, 23, 24	⊢
	: , : , :
21	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real
22	theorem		⊢
	proveit.numbers.number_sets.real_numbers.pi_is_real_pos
23	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
24	instantiation	25, 26, 27	⊢
	: , : , :
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