Theorems · Theorem · global analysis
ContDiffBump.toFun.congr_simp
∀ {E : Type u_1} [inst : NormedAddCommGroup E] [inst_1 : NormedSpace ℝ E] [inst_2 : HasContDiffBump E] {c : E}
(f f_1 : ContDiffBump c), f = f_1 → ∀ (a a_1 : E), a = a_1 → ↑f a = ↑f_1 a_1- Cited by
- 1 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.
Cites6
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
- ContDiffBumpstatement and proof · cited by 61
- HasContDiffBumpstatement and proof · cited by 46
- ContDiffBump.toFunstatement and proof · cited by 43
Cited by1
Results whose statement or proof uses this declaration.
- ContDiffBump.negproof · cited by 1