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Metamath Proof Explorer
Description: Constructor rule for -/\ . (Contributed by Anthony Hart, 2-Sep-2011)
|
|
Ref |
Expression |
|
Hypotheses |
nabi12i.1 |
|- ( ph <-> ps ) |
|
|
nabi12i.2 |
|- ( ch <-> th ) |
|
|
nabi12i.3 |
|- ( ps -/\ th ) |
|
Assertion |
nabi12i |
|- ( ph -/\ ch ) |
Proof
| Step |
Hyp |
Ref |
Expression |
| 1 |
|
nabi12i.1 |
|- ( ph <-> ps ) |
| 2 |
|
nabi12i.2 |
|- ( ch <-> th ) |
| 3 |
|
nabi12i.3 |
|- ( ps -/\ th ) |
| 4 |
1 3
|
nabi1i |
|- ( ph -/\ th ) |
| 5 |
2 4
|
nabi2i |
|- ( ph -/\ ch ) |