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Mirrors > Home > MPE Home > Th. List > Mathboxes > eel0cT | Structured version Visualization version GIF version |
Description: An elimination deduction. (Contributed by Alan Sare, 4-Feb-2017.) (Proof modification is discouraged.) (New usage is discouraged.) |
Ref | Expression |
---|---|
eel0cT.1 | ⊢ 𝜑 |
eel0cT.2 | ⊢ (𝜑 → 𝜓) |
Ref | Expression |
---|---|
eel0cT | ⊢ (⊤ → 𝜓) |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | eel0cT.1 | . . 3 ⊢ 𝜑 | |
2 | eel0cT.2 | . . 3 ⊢ (𝜑 → 𝜓) | |
3 | 1, 2 | ax-mp 5 | . 2 ⊢ 𝜓 |
4 | 3 | a1i 11 | 1 ⊢ (⊤ → 𝜓) |
Colors of variables: wff setvar class |
Syntax hints: → wi 4 ⊤wtru 1543 |
This theorem was proved from axioms: ax-mp 5 ax-1 6 |
This theorem is referenced by: (None) |
Copyright terms: Public domain | W3C validator |