Theorems · Theorem · real analysis
Function.Antiperiodic.neg_eq
∀ {α : Type u_1} {β : Type u_2} {f : α → β} {c : α} [inst : AddGroup α] [inst_1 : InvolutiveNeg β],
Function.Antiperiodic f c → f (-c) = -f 0- Defined in
- Mathlib.Algebra.Ring.Periodic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 13 from the axioms · uses propext, Quot.sound
- Assumes
- AddGroupInvolutiveNeg
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Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- AddGroupstatement and proof · cited by 4,410
- zero_addproof · cited by 2,366
- InvolutiveNegstatement and proof · cited by 151
- Function.Antiperiodicstatement and proof · cited by 66
- Function.Antiperiodic.negproof · cited by 4
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