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Mirrors > Home > MPE Home > Th. List > Mathboxes > wl-impchain-a1-1 | Structured version Visualization version GIF version |
Description: Inference rule, a copy of a1i 11. Head start of a recursive proof pattern. (Contributed by Wolf Lammen, 20-Jun-2020.) (New usage is discouraged.) (Proof modification is discouraged.) |
Ref | Expression |
---|---|
wl-impchain-a1-1.a | ⊢ 𝜑 |
Ref | Expression |
---|---|
wl-impchain-a1-1 | ⊢ (𝜓 → 𝜑) |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | wl-impchain-a1-1.a | . 2 ⊢ 𝜑 | |
2 | 1 | wl-luk-a1i 35600 | 1 ⊢ (𝜓 → 𝜑) |
Colors of variables: wff setvar class |
Syntax hints: → wi 4 |
This theorem was proved from axioms: ax-mp 5 ax-luk1 35590 ax-luk2 35591 ax-luk3 35592 |
This theorem is referenced by: wl-impchain-a1-2 35633 |
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