adm1s - Linear Logic Proof Explorer

	Linear Logic Proof Explorer	< Previous Next > Nearby theorems
Mirrors > Home > LLPE Home > Th. List > adm1s		Structured version

Theorem adm1s 175

Description: Plus is monotone in its first argument.

**Hypothesis**
Ref	Expression
adm1s.1	⊦ (𝜑 ⊸ 𝜒)

**Assertion**
Ref	Expression
adm1s	⊦ ((𝜑 ⊕ 𝜓) ⊸ (𝜒 ⊕ 𝜓))

**Proof of Theorem adm1s**
Step	Hyp	Ref	Expression

Colors of variables: wff var nilad

Syntax hints: ⊸ wli 61 ⊕ wad 131

WARNING: This theorem has an incomplete proof.

This theorem is referenced by: (None)