rcp-NDIMP1add1 - bfol.mm Proof Explorer

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Theorem rcp-NDIMP1add1 208

Description: ( 1 ) ⇒ ( 1 ∧ 2 ). †

**Hypothesis**
Ref	Expression
rcp-NDIMP1add1.1	⊢ (𝛾₁ → 𝜑)

**Assertion**
Ref	Expression
rcp-NDIMP1add1	⊢ ((𝛾₁ ∧ 𝛾₂) → 𝜑)

**Proof of Theorem rcp-NDIMP1add1**
Step	Hyp	Ref	Expression
1		rcp-NDIMP1add1.1	. 2 ⊢ (𝛾₁ → 𝜑)
2	1	ndimp-P3.2 167	1 ⊢ ((𝛾₁ ∧ 𝛾₂) → 𝜑)

Colors of variables: wff objvar term class

Syntax hints: → wff-imp 10 ∧ wff-and 132

This theorem was proved from axioms: ax-L1 11 ax-L2 12 ax-L3 13 ax-MP 14

This theorem depends on definitions: df-bi-D2.1 107 df-and-D2.2 133