Logical symbol | Appears in goal | Appears in hypothesis |
---|---|---|
∀ (for all) |
intro new_name |
apply expr or specialize name expr |
∃ (there exists) |
use expr |
cases expr with | intro new_name new_name => ... |
→ (implies) |
intro new_name |
apply expr or specialize name expr |
↔ (if and only if) |
constructor |
rw [expr] or rw [← expr] |
∧ (and) |
constructor |
cases expr with | intro new_name new_name => ... |
∨ (or) |
left or right |
cases expr with | inl new_name => ... | inr new_name => ... |
¬ (not) |
intro new_name |
apply expr or specialize name expr |
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