| bfol.mm Proof Explorer |
< Previous
Next >
Nearby theorems |
||
| Mirrors > Home > PE Home > Th. List > ndasm-P3.1 | |||
| Description: Natural Deduction: State
Assumption.
This rule is simply stating an assumption. |
| Ref | Expression |
|---|---|
| ndasm-P3.1 | ⊢ ((𝛾 ∧ 𝜑) → 𝜑) |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | simpr-P2.9b 136 | 1 ⊢ ((𝛾 ∧ 𝜑) → 𝜑) |
| Colors of variables: wff objvar term class |
| Syntax hints: → wff-imp 10 ∧ wff-and 132 |
| This theorem was proved from axioms: ax-L1 11 ax-L2 12 ax-L3 13 ax-MP 14 |
| This theorem depends on definitions: df-bi-D2.1 107 df-and-D2.2 133 |
| This theorem is referenced by: ndfalsei-P3.19 184 rcp-NDASM1of1 192 rcp-NDASM2of2 194 rcp-NDASM3of3 197 rcp-NDASM4of4 201 rcp-NDASM5of5 206 |
| Copyright terms: Public domain | W3C validator |