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Mirrors > Home > MPE Home > Th. List > Mathboxes > df-bj-2upl | Structured version Visualization version Unicode version |
Description: Definition of the Morse couple. See df-bj-1upl 32986. New usage is discouraged because the precise definition is generally unimportant compared to the characteristic properties bj-2upleq 33000, bj-2uplth 33009, bj-2uplex 33010, and the properties of the projections (see df-bj-pr1 32989 and df-bj-pr2 33003). (Contributed by BJ, 6-Oct-2018.) (New usage is discouraged.) |
Ref | Expression |
---|---|
df-bj-2upl | (|, |) (||) tag |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | cA | . . 3 | |
2 | cB | . . 3 | |
3 | 1, 2 | bj-c2uple 32998 | . 2 (|, |) |
4 | 1 | bj-c1upl 32985 | . . 3 (||) |
5 | c1o 7553 | . . . . 5 | |
6 | 5 | csn 4177 | . . . 4 |
7 | 2 | bj-ctag 32962 | . . . 4 tag |
8 | 6, 7 | cxp 5112 | . . 3 tag |
9 | 4, 8 | cun 3572 | . 2 (||) tag |
10 | 3, 9 | wceq 1483 | 1 (|, |) (||) tag |
Colors of variables: wff setvar class |
This definition is referenced by: bj-2upleq 33000 bj-pr21val 33001 bj-pr22val 33007 bj-2uplex 33010 bj-2upln0 33011 bj-2upln1upl 33012 |
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