| Mathbox for Wolf Lammen |
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| Mirrors > Home > MPE Home > Th. List > Mathboxes > wl-impchain-com-1.1 | Structured version Visualization version GIF version | ||
| Description: A degenerate form of
antecedent swapping. The number '1' in the theorem
name indicates that it handles a chain of length 1.
Since there is just one antecedent in the chain, there is nothing to swap. Nondegenerated forms begin with wl-impchain-com-1.2 37388, for more see there. (Contributed by Wolf Lammen, 7-Jul-2019.) (New usage is discouraged.) (Proof modification is discouraged.) |
| Ref | Expression |
|---|---|
| wl-impchain-com-1.1.a | ⊢ (𝜓 → 𝜑) |
| Ref | Expression |
|---|---|
| wl-impchain-com-1.1 | ⊢ (𝜓 → 𝜑) |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | wl-impchain-com-1.1.a | 1 ⊢ (𝜓 → 𝜑) |
| Colors of variables: wff setvar class |
| Syntax hints: → wi 4 |
| This theorem is referenced by: wl-impchain-com-1.2 37388 |
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