Theorem pm3.4 266

Description: Conjunction implies implication. Theorem *3.4 of [WhiteheadRussell] p. 113.

Assertion

Ref	Expression
pm3.4	⊢ ((φ ∧ ψ) → (φ → ψ))

Proof of Theorem pm3.4

Step	Hyp	Ref	Expression
1		pm3.27 260	. 2 ⊢ ((φ ∧ ψ) → ψ)
2	1	a1d 14	1 ⊢ ((φ ∧ ψ) → (φ → ψ))

Syntax hints:   → wi 2   ∧ wa 196

This theorem is referenced by:  abai 366  ibib 448  pm5.18 497  sbequ1 863  alexeq 1409

This theorem was proved from axioms:  ax-1 3  ax-2 4  ax-3 5  ax-mp 6

This theorem depends on definitions:  df-bi 128  df-an 198

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