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, 4	⊢
	: , : , :
1	theorem		⊢
	proveit.numbers.addition.subtraction.add_cancel_triple_23
2	reference	17	⊢
3	instantiation	31, 23, 5	⊢
	: , : , :
4	instantiation	6	⊢
	:
5	instantiation	7, 8, 9	⊢
	: , : , :
6	axiom		⊢
	proveit.logic.equality.equals_reflexivity
7	theorem		⊢
	proveit.logic.equality.sub_right_side_into
8	instantiation	19, 10, 24	⊢
	: , :
9	instantiation	11, 12, 33, 13, 14, 15, 16, 17, 18	⊢
	: , : , : , : , : , :
10	instantiation	19, 21, 22	⊢
	: , :
11	theorem		⊢
	proveit.numbers.multiplication.disassociation
12	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
13	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
14	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
15	instantiation	20	⊢
	: , :
16	instantiation	31, 23, 21	⊢
	: , : , :
17	instantiation	31, 23, 22	⊢
	: , : , :
18	instantiation	31, 23, 24	⊢
	: , : , :
19	theorem		⊢
	proveit.numbers.multiplication.mult_real_closure_bin
20	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
21	instantiation	31, 25, 26	⊢
	: , : , :
22	instantiation	31, 27, 28	⊢
	: , : , :
23	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
24	assumption		⊢
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