Description: Definition of a 2-element virtual hypotheses collection. (Contributed by Alan Sare, 23-Apr-2015) (New usage is discouraged.)
Ref | Expression | ||
---|---|---|---|
Assertion | df-vhc2 | ⊢ ( ( 𝜑 , 𝜓 ) ↔ ( 𝜑 ∧ 𝜓 ) ) |
Step | Hyp | Ref | Expression |
---|---|---|---|
0 | wph | ⊢ 𝜑 | |
1 | wps | ⊢ 𝜓 | |
2 | 0 1 | wvhc2 | ⊢ ( 𝜑 , 𝜓 ) |
3 | 0 1 | wa | ⊢ ( 𝜑 ∧ 𝜓 ) |
4 | 2 3 | wb | ⊢ ( ( 𝜑 , 𝜓 ) ↔ ( 𝜑 ∧ 𝜓 ) ) |