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Mirrors > Home > MPE Home > Th. List > pm4.25 | Structured version Visualization version GIF version |
Description: Theorem *4.25 of [WhiteheadRussell] p. 117. (Contributed by NM, 3-Jan-2005.) |
Ref | Expression |
---|---|
pm4.25 | ⊢ (𝜑 ↔ (𝜑 ∨ 𝜑)) |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | oridm 902 | . 2 ⊢ ((𝜑 ∨ 𝜑) ↔ 𝜑) | |
2 | 1 | bicomi 227 | 1 ⊢ (𝜑 ↔ (𝜑 ∨ 𝜑)) |
Colors of variables: wff setvar class |
Syntax hints: ↔ wb 209 ∨ wo 844 |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-3 8 |
This theorem depends on definitions: df-bi 210 df-or 845 |
This theorem is referenced by: brbtwn2 26699 ifpid1g 40202 uneqsn 40726 |
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