Theorem rcp-IMPIME1 527

Description: '→' Elimination with Importation. †

Hypothesis

Ref	Expression
rcp-IMPIME1.1	⊢ (𝛾₁ → (𝜑 → 𝜓))

Assertion

Ref	Expression
rcp-IMPIME1	⊢ ((𝛾₁ ∧ 𝜑) → 𝜓)

Proof of Theorem rcp-IMPIME1

Step	Hyp	Ref	Expression
1		rcp-IMPIME1.1	. 2 ⊢ (𝛾₁ → (𝜑 → 𝜓))
2	1	impime-P4 526	1 ⊢ ((𝛾₁ ∧ 𝜑) → 𝜓)

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

This theorem is referenced by:  dalloverim-P5  590