Intuitionistic Logic Explorer |
< Previous
Next >
Nearby theorems |
||
Mirrors > Home > ILE Home > Th. List > simprlr | GIF version |
Description: Simplification of a conjunction. (Contributed by Jeff Hankins, 28-Jul-2009.) |
Ref | Expression |
---|---|
simprlr | ⊢ ((𝜑 ∧ ((𝜓 ∧ 𝜒) ∧ 𝜃)) → 𝜒) |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | simpr 109 | . 2 ⊢ ((𝜓 ∧ 𝜒) → 𝜒) | |
2 | 1 | ad2antrl 487 | 1 ⊢ ((𝜑 ∧ ((𝜓 ∧ 𝜒) ∧ 𝜃)) → 𝜒) |
Copyright terms: Public domain | W3C validator |