Theorems · Theorem · global analysis
ContDiffBump.sub
∀ {E : Type u_1} [inst : NormedAddCommGroup E] [inst_1 : NormedSpace ℝ E] [inst_2 : HasContDiffBump E] {c : E}
(f : ContDiffBump c) (x : E), ↑f (c - x) = ↑f (c + x)- Cited by
- 2 results in Mathlib
- Foundations
- Depth 161 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites14
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement and proof · cited by 25,697
- NormedAddCommGroupstatement and proof · cited by 15,752
- NormedSpacestatement and proof · cited by 12,499
- add_sub_cancel_leftproof · cited by 198
- smul_negproof · cited by 181
- ContDiffBumpstatement and proof · cited by 61
- ContDiffBump.rOutproof · cited by 51
- HasContDiffBumpstatement and proof · cited by 46
- ContDiffBump.toFunstatement · cited by 43
- sub_sub_cancel_leftproof · cited by 28
- ContDiffBump.rInproof · cited by 22
- someContDiffBumpBaseproof · cited by 8
Cited by2
Results whose statement or proof uses this declaration.
- ContDiffBump.negproof · cited by 1
- ContDiffBump.normed_subproof · cited by 0